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Simplifying 2 + 3(3x + -4) = 5 + -5(2x + 1) Reorder the terms: 2 + 3(-4 + 3x) = 5 + -5(2x + 1) 2 + (-4 * 3 + 3x * 3) = 5 + -5(2x + 1) 2 + (-12 + 9x) = 5 + -5(2x + 1) Combine like terms: 2 + -12 = -10 -10 + 9x = 5 + -5(2x + 1) Reorder the terms: -10 + 9x = 5 + -5(1 + 2x) -10 + 9x = 5 + (1 * -5 + 2x * -5) -10 + 9x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -10 + 9x = 0 + -10x -10 + 9x = -10x Solving -10 + 9x = -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. -10 + 9x + 10x = -10x + 10x Combine like terms: 9x + 10x = 19x -10 + 19x = -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 19x = 0 Add '10' to each side of the equation. -10 + 10 + 19x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 0 + 10 19x = 0 + 10 Combine like terms: 0 + 10 = 10 19x = 10 Divide each side by '19'. x = 0.5263157895 Simplifying x = 0.5263157895
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