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Simplifying 4(2x + -1) = 7(x + -5) Reorder the terms: 4(-1 + 2x) = 7(x + -5) (-1 * 4 + 2x * 4) = 7(x + -5) (-4 + 8x) = 7(x + -5) Reorder the terms: -4 + 8x = 7(-5 + x) -4 + 8x = (-5 * 7 + x * 7) -4 + 8x = (-35 + 7x) Solving -4 + 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. -4 + 8x + -7x = -35 + 7x + -7x Combine like terms: 8x + -7x = 1x -4 + 1x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + 1x = -35 + 0 -4 + 1x = -35 Add '4' to each side of the equation. -4 + 4 + 1x = -35 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -35 + 4 1x = -35 + 4 Combine like terms: -35 + 4 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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