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Simplifying 2(x + -3) + 3(x + -4) = 2(3 + -5x) Reorder the terms: 2(-3 + x) + 3(x + -4) = 2(3 + -5x) (-3 * 2 + x * 2) + 3(x + -4) = 2(3 + -5x) (-6 + 2x) + 3(x + -4) = 2(3 + -5x) Reorder the terms: -6 + 2x + 3(-4 + x) = 2(3 + -5x) -6 + 2x + (-4 * 3 + x * 3) = 2(3 + -5x) -6 + 2x + (-12 + 3x) = 2(3 + -5x) Reorder the terms: -6 + -12 + 2x + 3x = 2(3 + -5x) Combine like terms: -6 + -12 = -18 -18 + 2x + 3x = 2(3 + -5x) Combine like terms: 2x + 3x = 5x -18 + 5x = 2(3 + -5x) -18 + 5x = (3 * 2 + -5x * 2) -18 + 5x = (6 + -10x) Solving -18 + 5x = 6 + -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. -18 + 5x + 10x = 6 + -10x + 10x Combine like terms: 5x + 10x = 15x -18 + 15x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 -18 + 15x = 6 + 0 -18 + 15x = 6 Add '18' to each side of the equation. -18 + 18 + 15x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 6 + 18 15x = 6 + 18 Combine like terms: 6 + 18 = 24 15x = 24 Divide each side by '15'. x = 1.6 Simplifying x = 1.6
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