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Simplifying 3(5x + -4) + -7(2x + -3) = 8 + (4 + 6x) Reorder the terms: 3(-4 + 5x) + -7(2x + -3) = 8 + (4 + 6x) (-4 * 3 + 5x * 3) + -7(2x + -3) = 8 + (4 + 6x) (-12 + 15x) + -7(2x + -3) = 8 + (4 + 6x) Reorder the terms: -12 + 15x + -7(-3 + 2x) = 8 + (4 + 6x) -12 + 15x + (-3 * -7 + 2x * -7) = 8 + (4 + 6x) -12 + 15x + (21 + -14x) = 8 + (4 + 6x) Reorder the terms: -12 + 21 + 15x + -14x = 8 + (4 + 6x) Combine like terms: -12 + 21 = 9 9 + 15x + -14x = 8 + (4 + 6x) Combine like terms: 15x + -14x = 1x 9 + 1x = 8 + (4 + 6x) Remove parenthesis around (4 + 6x) 9 + 1x = 8 + 4 + 6x Combine like terms: 8 + 4 = 12 9 + 1x = 12 + 6x Solving 9 + 1x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 1x + -6x = 12 + 6x + -6x Combine like terms: 1x + -6x = -5x 9 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -5x = 12 + 0 9 + -5x = 12 Add '-9' to each side of the equation. 9 + -9 + -5x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 12 + -9 -5x = 12 + -9 Combine like terms: 12 + -9 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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