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Simplifying 4 + 3(3x + -5) = 8 + -5(2x + 1) Reorder the terms: 4 + 3(-5 + 3x) = 8 + -5(2x + 1) 4 + (-5 * 3 + 3x * 3) = 8 + -5(2x + 1) 4 + (-15 + 9x) = 8 + -5(2x + 1) Combine like terms: 4 + -15 = -11 -11 + 9x = 8 + -5(2x + 1) Reorder the terms: -11 + 9x = 8 + -5(1 + 2x) -11 + 9x = 8 + (1 * -5 + 2x * -5) -11 + 9x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -11 + 9x = 3 + -10x Solving -11 + 9x = 3 + -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. -11 + 9x + 10x = 3 + -10x + 10x Combine like terms: 9x + 10x = 19x -11 + 19x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -11 + 19x = 3 + 0 -11 + 19x = 3 Add '11' to each side of the equation. -11 + 11 + 19x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 19x = 3 + 11 19x = 3 + 11 Combine like terms: 3 + 11 = 14 19x = 14 Divide each side by '19'. x = 0.7368421053 Simplifying x = 0.7368421053
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