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Simplifying 7(9x + -4) + -5(8 + -5x) + 8(-2x + 10) = (9 + -7x) Reorder the terms: 7(-4 + 9x) + -5(8 + -5x) + 8(-2x + 10) = (9 + -7x) (-4 * 7 + 9x * 7) + -5(8 + -5x) + 8(-2x + 10) = (9 + -7x) (-28 + 63x) + -5(8 + -5x) + 8(-2x + 10) = (9 + -7x) -28 + 63x + (8 * -5 + -5x * -5) + 8(-2x + 10) = (9 + -7x) -28 + 63x + (-40 + 25x) + 8(-2x + 10) = (9 + -7x) Reorder the terms: -28 + 63x + -40 + 25x + 8(10 + -2x) = (9 + -7x) -28 + 63x + -40 + 25x + (10 * 8 + -2x * 8) = (9 + -7x) -28 + 63x + -40 + 25x + (80 + -16x) = (9 + -7x) Reorder the terms: -28 + -40 + 80 + 63x + 25x + -16x = (9 + -7x) Combine like terms: -28 + -40 = -68 -68 + 80 + 63x + 25x + -16x = (9 + -7x) Combine like terms: -68 + 80 = 12 12 + 63x + 25x + -16x = (9 + -7x) Combine like terms: 63x + 25x = 88x 12 + 88x + -16x = (9 + -7x) Combine like terms: 88x + -16x = 72x 12 + 72x = (9 + -7x) Remove parenthesis around (9 + -7x) 12 + 72x = 9 + -7x Solving 12 + 72x = 9 + -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. 12 + 72x + 7x = 9 + -7x + 7x Combine like terms: 72x + 7x = 79x 12 + 79x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 79x = 9 + 0 12 + 79x = 9 Add '-12' to each side of the equation. 12 + -12 + 79x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 79x = 9 + -12 79x = 9 + -12 Combine like terms: 9 + -12 = -3 79x = -3 Divide each side by '79'. x = -0.03797468354 Simplifying x = -0.03797468354
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