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Simplifying 5(3x + 4) + -8(6x + -7) = 9x + -8 Reorder the terms: 5(4 + 3x) + -8(6x + -7) = 9x + -8 (4 * 5 + 3x * 5) + -8(6x + -7) = 9x + -8 (20 + 15x) + -8(6x + -7) = 9x + -8 Reorder the terms: 20 + 15x + -8(-7 + 6x) = 9x + -8 20 + 15x + (-7 * -8 + 6x * -8) = 9x + -8 20 + 15x + (56 + -48x) = 9x + -8 Reorder the terms: 20 + 56 + 15x + -48x = 9x + -8 Combine like terms: 20 + 56 = 76 76 + 15x + -48x = 9x + -8 Combine like terms: 15x + -48x = -33x 76 + -33x = 9x + -8 Reorder the terms: 76 + -33x = -8 + 9x Solving 76 + -33x = -8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 76 + -33x + -9x = -8 + 9x + -9x Combine like terms: -33x + -9x = -42x 76 + -42x = -8 + 9x + -9x Combine like terms: 9x + -9x = 0 76 + -42x = -8 + 0 76 + -42x = -8 Add '-76' to each side of the equation. 76 + -76 + -42x = -8 + -76 Combine like terms: 76 + -76 = 0 0 + -42x = -8 + -76 -42x = -8 + -76 Combine like terms: -8 + -76 = -84 -42x = -84 Divide each side by '-42'. x = 2 Simplifying x = 2
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