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Simplifying 6(x + -3) + -4(x + 2) = 9x + -1(5x + -3) Reorder the terms: 6(-3 + x) + -4(x + 2) = 9x + -1(5x + -3) (-3 * 6 + x * 6) + -4(x + 2) = 9x + -1(5x + -3) (-18 + 6x) + -4(x + 2) = 9x + -1(5x + -3) Reorder the terms: -18 + 6x + -4(2 + x) = 9x + -1(5x + -3) -18 + 6x + (2 * -4 + x * -4) = 9x + -1(5x + -3) -18 + 6x + (-8 + -4x) = 9x + -1(5x + -3) Reorder the terms: -18 + -8 + 6x + -4x = 9x + -1(5x + -3) Combine like terms: -18 + -8 = -26 -26 + 6x + -4x = 9x + -1(5x + -3) Combine like terms: 6x + -4x = 2x -26 + 2x = 9x + -1(5x + -3) Reorder the terms: -26 + 2x = 9x + -1(-3 + 5x) -26 + 2x = 9x + (-3 * -1 + 5x * -1) -26 + 2x = 9x + (3 + -5x) Reorder the terms: -26 + 2x = 3 + 9x + -5x Combine like terms: 9x + -5x = 4x -26 + 2x = 3 + 4x Solving -26 + 2x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 2x + -4x = 3 + 4x + -4x Combine like terms: 2x + -4x = -2x -26 + -2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + -2x = 3 + 0 -26 + -2x = 3 Add '26' to each side of the equation. -26 + 26 + -2x = 3 + 26 Combine like terms: -26 + 26 = 0 0 + -2x = 3 + 26 -2x = 3 + 26 Combine like terms: 3 + 26 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5
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