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Simplifying 4(2x + -2) = 7(x + -5) Reorder the terms: 4(-2 + 2x) = 7(x + -5) (-2 * 4 + 2x * 4) = 7(x + -5) (-8 + 8x) = 7(x + -5) Reorder the terms: -8 + 8x = 7(-5 + x) -8 + 8x = (-5 * 7 + x * 7) -8 + 8x = (-35 + 7x) Solving -8 + 8x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 8x + -7x = -35 + 7x + -7x Combine like terms: 8x + -7x = 1x -8 + 1x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 1x = -35 + 0 -8 + 1x = -35 Add '8' to each side of the equation. -8 + 8 + 1x = -35 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -35 + 8 1x = -35 + 8 Combine like terms: -35 + 8 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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