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Simplifying 4(x + -2) = 5(2x + 5) Reorder the terms: 4(-2 + x) = 5(2x + 5) (-2 * 4 + x * 4) = 5(2x + 5) (-8 + 4x) = 5(2x + 5) Reorder the terms: -8 + 4x = 5(5 + 2x) -8 + 4x = (5 * 5 + 2x * 5) -8 + 4x = (25 + 10x) Solving -8 + 4x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 4x + -10x = 25 + 10x + -10x Combine like terms: 4x + -10x = -6x -8 + -6x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -6x = 25 + 0 -8 + -6x = 25 Add '8' to each side of the equation. -8 + 8 + -6x = 25 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 25 + 8 -6x = 25 + 8 Combine like terms: 25 + 8 = 33 -6x = 33 Divide each side by '-6'. x = -5.5 Simplifying x = -5.5
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