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Simplifying 4(x + -2) = 4(2x + 5) Reorder the terms: 4(-2 + x) = 4(2x + 5) (-2 * 4 + x * 4) = 4(2x + 5) (-8 + 4x) = 4(2x + 5) Reorder the terms: -8 + 4x = 4(5 + 2x) -8 + 4x = (5 * 4 + 2x * 4) -8 + 4x = (20 + 8x) Solving -8 + 4x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 4x + -8x = 20 + 8x + -8x Combine like terms: 4x + -8x = -4x -8 + -4x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -4x = 20 + 0 -8 + -4x = 20 Add '8' to each side of the equation. -8 + 8 + -4x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 20 + 8 -4x = 20 + 8 Combine like terms: 20 + 8 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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