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Simplifying 5(x + -2) = 6(x + -1) Reorder the terms: 5(-2 + x) = 6(x + -1) (-2 * 5 + x * 5) = 6(x + -1) (-10 + 5x) = 6(x + -1) Reorder the terms: -10 + 5x = 6(-1 + x) -10 + 5x = (-1 * 6 + x * 6) -10 + 5x = (-6 + 6x) Solving -10 + 5x = -6 + 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. -10 + 5x + -6x = -6 + 6x + -6x Combine like terms: 5x + -6x = -1x -10 + -1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -1x = -6 + 0 -10 + -1x = -6 Add '10' to each side of the equation. -10 + 10 + -1x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -6 + 10 -1x = -6 + 10 Combine like terms: -6 + 10 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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