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Simplifying 5(x + 8) + -7x = 1(2x + -4) Reorder the terms: 5(8 + x) + -7x = 1(2x + -4) (8 * 5 + x * 5) + -7x = 1(2x + -4) (40 + 5x) + -7x = 1(2x + -4) Combine like terms: 5x + -7x = -2x 40 + -2x = 1(2x + -4) Reorder the terms: 40 + -2x = 1(-4 + 2x) 40 + -2x = (-4 * 1 + 2x * 1) 40 + -2x = (-4 + 2x) Solving 40 + -2x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + -2x + -2x = -4 + 2x + -2x Combine like terms: -2x + -2x = -4x 40 + -4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + -4x = -4 + 0 40 + -4x = -4 Add '-40' to each side of the equation. 40 + -40 + -4x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = -4 + -40 -4x = -4 + -40 Combine like terms: -4 + -40 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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