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Simplifying 4(x + -7) = 5(x + -2) Reorder the terms: 4(-7 + x) = 5(x + -2) (-7 * 4 + x * 4) = 5(x + -2) (-28 + 4x) = 5(x + -2) Reorder the terms: -28 + 4x = 5(-2 + x) -28 + 4x = (-2 * 5 + x * 5) -28 + 4x = (-10 + 5x) Solving -28 + 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. -28 + 4x + -5x = -10 + 5x + -5x Combine like terms: 4x + -5x = -1x -28 + -1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + -1x = -10 + 0 -28 + -1x = -10 Add '28' to each side of the equation. -28 + 28 + -1x = -10 + 28 Combine like terms: -28 + 28 = 0 0 + -1x = -10 + 28 -1x = -10 + 28 Combine like terms: -10 + 28 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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