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Simplifying 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 = -15x 4 + -15x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -15x = -35 + 0 4 + -15x = -35 Add '-4' to each side of the equation. 4 + -4 + -15x = -35 + -4 Combine like terms: 4 + -4 = 0 0 + -15x = -35 + -4 -15x = -35 + -4 Combine like terms: -35 + -4 = -39 -15x = -39 Divide each side by '-15'. x = 2.6 Simplifying x = 2.6
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