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Simplifying 4(x + -2) = -3(x + 5) Reorder the terms: 4(-2 + x) = -3(x + 5) (-2 * 4 + x * 4) = -3(x + 5) (-8 + 4x) = -3(x + 5) Reorder the terms: -8 + 4x = -3(5 + x) -8 + 4x = (5 * -3 + x * -3) -8 + 4x = (-15 + -3x) Solving -8 + 4x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 4x + 3x = -15 + -3x + 3x Combine like terms: 4x + 3x = 7x -8 + 7x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 7x = -15 + 0 -8 + 7x = -15 Add '8' to each side of the equation. -8 + 8 + 7x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -15 + 8 7x = -15 + 8 Combine like terms: -15 + 8 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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