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Simplifying 3(x + 5) + -7 = 8 + -4(2 + -3x) Reorder the terms: 3(5 + x) + -7 = 8 + -4(2 + -3x) (5 * 3 + x * 3) + -7 = 8 + -4(2 + -3x) (15 + 3x) + -7 = 8 + -4(2 + -3x) Reorder the terms: 15 + -7 + 3x = 8 + -4(2 + -3x) Combine like terms: 15 + -7 = 8 8 + 3x = 8 + -4(2 + -3x) 8 + 3x = 8 + (2 * -4 + -3x * -4) 8 + 3x = 8 + (-8 + 12x) Combine like terms: 8 + -8 = 0 8 + 3x = 0 + 12x 8 + 3x = 12x Solving 8 + 3x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 3x + -12x = 12x + -12x Combine like terms: 3x + -12x = -9x 8 + -9x = 12x + -12x Combine like terms: 12x + -12x = 0 8 + -9x = 0 Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889
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