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Simplifying x + 6(x + -3) + 12(x + -6) = 6(x + 12) + 3(x + 6) + 5 Reorder the terms: x + 6(-3 + x) + 12(x + -6) = 6(x + 12) + 3(x + 6) + 5 x + (-3 * 6 + x * 6) + 12(x + -6) = 6(x + 12) + 3(x + 6) + 5 x + (-18 + 6x) + 12(x + -6) = 6(x + 12) + 3(x + 6) + 5 Reorder the terms: x + -18 + 6x + 12(-6 + x) = 6(x + 12) + 3(x + 6) + 5 x + -18 + 6x + (-6 * 12 + x * 12) = 6(x + 12) + 3(x + 6) + 5 x + -18 + 6x + (-72 + 12x) = 6(x + 12) + 3(x + 6) + 5 Reorder the terms: -18 + -72 + x + 6x + 12x = 6(x + 12) + 3(x + 6) + 5 Combine like terms: -18 + -72 = -90 -90 + x + 6x + 12x = 6(x + 12) + 3(x + 6) + 5 Combine like terms: x + 6x = 7x -90 + 7x + 12x = 6(x + 12) + 3(x + 6) + 5 Combine like terms: 7x + 12x = 19x -90 + 19x = 6(x + 12) + 3(x + 6) + 5 Reorder the terms: -90 + 19x = 6(12 + x) + 3(x + 6) + 5 -90 + 19x = (12 * 6 + x * 6) + 3(x + 6) + 5 -90 + 19x = (72 + 6x) + 3(x + 6) + 5 Reorder the terms: -90 + 19x = 72 + 6x + 3(6 + x) + 5 -90 + 19x = 72 + 6x + (6 * 3 + x * 3) + 5 -90 + 19x = 72 + 6x + (18 + 3x) + 5 Reorder the terms: -90 + 19x = 72 + 18 + 5 + 6x + 3x Combine like terms: 72 + 18 = 90 -90 + 19x = 90 + 5 + 6x + 3x Combine like terms: 90 + 5 = 95 -90 + 19x = 95 + 6x + 3x Combine like terms: 6x + 3x = 9x -90 + 19x = 95 + 9x Solving -90 + 19x = 95 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -90 + 19x + -9x = 95 + 9x + -9x Combine like terms: 19x + -9x = 10x -90 + 10x = 95 + 9x + -9x Combine like terms: 9x + -9x = 0 -90 + 10x = 95 + 0 -90 + 10x = 95 Add '90' to each side of the equation. -90 + 90 + 10x = 95 + 90 Combine like terms: -90 + 90 = 0 0 + 10x = 95 + 90 10x = 95 + 90 Combine like terms: 95 + 90 = 185 10x = 185 Divide each side by '10'. x = 18.5 Simplifying x = 18.5
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