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Simplifying 3(4x + -2) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1) Reorder the terms: 3(-2 + 4x) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1) (-2 * 3 + 4x * 3) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1) (-6 + 12x) + -6(x + -5) + -26 = 4(3 + -1x) + -2(x + 1) Reorder the terms: -6 + 12x + -6(-5 + x) + -26 = 4(3 + -1x) + -2(x + 1) -6 + 12x + (-5 * -6 + x * -6) + -26 = 4(3 + -1x) + -2(x + 1) -6 + 12x + (30 + -6x) + -26 = 4(3 + -1x) + -2(x + 1) Reorder the terms: -6 + 30 + -26 + 12x + -6x = 4(3 + -1x) + -2(x + 1) Combine like terms: -6 + 30 = 24 24 + -26 + 12x + -6x = 4(3 + -1x) + -2(x + 1) Combine like terms: 24 + -26 = -2 -2 + 12x + -6x = 4(3 + -1x) + -2(x + 1) Combine like terms: 12x + -6x = 6x -2 + 6x = 4(3 + -1x) + -2(x + 1) -2 + 6x = (3 * 4 + -1x * 4) + -2(x + 1) -2 + 6x = (12 + -4x) + -2(x + 1) Reorder the terms: -2 + 6x = 12 + -4x + -2(1 + x) -2 + 6x = 12 + -4x + (1 * -2 + x * -2) -2 + 6x = 12 + -4x + (-2 + -2x) Reorder the terms: -2 + 6x = 12 + -2 + -4x + -2x Combine like terms: 12 + -2 = 10 -2 + 6x = 10 + -4x + -2x Combine like terms: -4x + -2x = -6x -2 + 6x = 10 + -6x Solving -2 + 6x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 6x + 6x = 10 + -6x + 6x Combine like terms: 6x + 6x = 12x -2 + 12x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 12x = 10 + 0 -2 + 12x = 10 Add '2' to each side of the equation. -2 + 2 + 12x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = 10 + 2 12x = 10 + 2 Combine like terms: 10 + 2 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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