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Simplifying 3 + -5(2x + -7) + -8x + 9 = -1(5 + -2x) + -4x Reorder the terms: 3 + -5(-7 + 2x) + -8x + 9 = -1(5 + -2x) + -4x 3 + (-7 * -5 + 2x * -5) + -8x + 9 = -1(5 + -2x) + -4x 3 + (35 + -10x) + -8x + 9 = -1(5 + -2x) + -4x Reorder the terms: 3 + 35 + 9 + -10x + -8x = -1(5 + -2x) + -4x Combine like terms: 3 + 35 = 38 38 + 9 + -10x + -8x = -1(5 + -2x) + -4x Combine like terms: 38 + 9 = 47 47 + -10x + -8x = -1(5 + -2x) + -4x Combine like terms: -10x + -8x = -18x 47 + -18x = -1(5 + -2x) + -4x 47 + -18x = (5 * -1 + -2x * -1) + -4x 47 + -18x = (-5 + 2x) + -4x Combine like terms: 2x + -4x = -2x 47 + -18x = -5 + -2x Solving 47 + -18x = -5 + -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. 47 + -18x + 2x = -5 + -2x + 2x Combine like terms: -18x + 2x = -16x 47 + -16x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 47 + -16x = -5 + 0 47 + -16x = -5 Add '-47' to each side of the equation. 47 + -47 + -16x = -5 + -47 Combine like terms: 47 + -47 = 0 0 + -16x = -5 + -47 -16x = -5 + -47 Combine like terms: -5 + -47 = -52 -16x = -52 Divide each side by '-16'. x = 3.25 Simplifying x = 3.25
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