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Simplifying 8 + 3(3x + -4) = 7 + -5(2x + 1) Reorder the terms: 8 + 3(-4 + 3x) = 7 + -5(2x + 1) 8 + (-4 * 3 + 3x * 3) = 7 + -5(2x + 1) 8 + (-12 + 9x) = 7 + -5(2x + 1) Combine like terms: 8 + -12 = -4 -4 + 9x = 7 + -5(2x + 1) Reorder the terms: -4 + 9x = 7 + -5(1 + 2x) -4 + 9x = 7 + (1 * -5 + 2x * -5) -4 + 9x = 7 + (-5 + -10x) Combine like terms: 7 + -5 = 2 -4 + 9x = 2 + -10x Solving -4 + 9x = 2 + -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. -4 + 9x + 10x = 2 + -10x + 10x Combine like terms: 9x + 10x = 19x -4 + 19x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 19x = 2 + 0 -4 + 19x = 2 Add '4' to each side of the equation. -4 + 4 + 19x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 19x = 2 + 4 19x = 2 + 4 Combine like terms: 2 + 4 = 6 19x = 6 Divide each side by '19'. x = 0.3157894737 Simplifying x = 0.3157894737
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