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Simplifying 6(x + -3) + -2x = 5(x + -2) Reorder the terms: 6(-3 + x) + -2x = 5(x + -2) (-3 * 6 + x * 6) + -2x = 5(x + -2) (-18 + 6x) + -2x = 5(x + -2) Combine like terms: 6x + -2x = 4x -18 + 4x = 5(x + -2) Reorder the terms: -18 + 4x = 5(-2 + x) -18 + 4x = (-2 * 5 + x * 5) -18 + 4x = (-10 + 5x) Solving -18 + 4x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 4x + -5x = -10 + 5x + -5x Combine like terms: 4x + -5x = -1x -18 + -1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -1x = -10 + 0 -18 + -1x = -10 Add '18' to each side of the equation. -18 + 18 + -1x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -10 + 18 -1x = -10 + 18 Combine like terms: -10 + 18 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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