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Simplifying 6(x + -7) = 5(x + -2) Reorder the terms: 6(-7 + x) = 5(x + -2) (-7 * 6 + x * 6) = 5(x + -2) (-42 + 6x) = 5(x + -2) Reorder the terms: -42 + 6x = 5(-2 + x) -42 + 6x = (-2 * 5 + x * 5) -42 + 6x = (-10 + 5x) Solving -42 + 6x = -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. -42 + 6x + -5x = -10 + 5x + -5x Combine like terms: 6x + -5x = 1x -42 + 1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 1x = -10 + 0 -42 + 1x = -10 Add '42' to each side of the equation. -42 + 42 + 1x = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -10 + 42 1x = -10 + 42 Combine like terms: -10 + 42 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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