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Simplifying -3(5x + -4) + 7x = 8 + 2(5x + -6) Reorder the terms: -3(-4 + 5x) + 7x = 8 + 2(5x + -6) (-4 * -3 + 5x * -3) + 7x = 8 + 2(5x + -6) (12 + -15x) + 7x = 8 + 2(5x + -6) Combine like terms: -15x + 7x = -8x 12 + -8x = 8 + 2(5x + -6) Reorder the terms: 12 + -8x = 8 + 2(-6 + 5x) 12 + -8x = 8 + (-6 * 2 + 5x * 2) 12 + -8x = 8 + (-12 + 10x) Combine like terms: 8 + -12 = -4 12 + -8x = -4 + 10x Solving 12 + -8x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -8x + -10x = -4 + 10x + -10x Combine like terms: -8x + -10x = -18x 12 + -18x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -18x = -4 + 0 12 + -18x = -4 Add '-12' to each side of the equation. 12 + -12 + -18x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = -4 + -12 -18x = -4 + -12 Combine like terms: -4 + -12 = -16 -18x = -16 Divide each side by '-18'. x = 0.8888888889 Simplifying x = 0.8888888889
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