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Simplifying 3(4x + -3) + -5 = 2(5x + -2) + 3 Reorder the terms: 3(-3 + 4x) + -5 = 2(5x + -2) + 3 (-3 * 3 + 4x * 3) + -5 = 2(5x + -2) + 3 (-9 + 12x) + -5 = 2(5x + -2) + 3 Reorder the terms: -9 + -5 + 12x = 2(5x + -2) + 3 Combine like terms: -9 + -5 = -14 -14 + 12x = 2(5x + -2) + 3 Reorder the terms: -14 + 12x = 2(-2 + 5x) + 3 -14 + 12x = (-2 * 2 + 5x * 2) + 3 -14 + 12x = (-4 + 10x) + 3 Reorder the terms: -14 + 12x = -4 + 3 + 10x Combine like terms: -4 + 3 = -1 -14 + 12x = -1 + 10x Solving -14 + 12x = -1 + 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. -14 + 12x + -10x = -1 + 10x + -10x Combine like terms: 12x + -10x = 2x -14 + 2x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 2x = -1 + 0 -14 + 2x = -1 Add '14' to each side of the equation. -14 + 14 + 2x = -1 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -1 + 14 2x = -1 + 14 Combine like terms: -1 + 14 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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