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Simplifying 2(x + -3) + 3(x + -4) = 2 + -5(x + -2) + 10 Reorder the terms: 2(-3 + x) + 3(x + -4) = 2 + -5(x + -2) + 10 (-3 * 2 + x * 2) + 3(x + -4) = 2 + -5(x + -2) + 10 (-6 + 2x) + 3(x + -4) = 2 + -5(x + -2) + 10 Reorder the terms: -6 + 2x + 3(-4 + x) = 2 + -5(x + -2) + 10 -6 + 2x + (-4 * 3 + x * 3) = 2 + -5(x + -2) + 10 -6 + 2x + (-12 + 3x) = 2 + -5(x + -2) + 10 Reorder the terms: -6 + -12 + 2x + 3x = 2 + -5(x + -2) + 10 Combine like terms: -6 + -12 = -18 -18 + 2x + 3x = 2 + -5(x + -2) + 10 Combine like terms: 2x + 3x = 5x -18 + 5x = 2 + -5(x + -2) + 10 Reorder the terms: -18 + 5x = 2 + -5(-2 + x) + 10 -18 + 5x = 2 + (-2 * -5 + x * -5) + 10 -18 + 5x = 2 + (10 + -5x) + 10 Reorder the terms: -18 + 5x = 2 + 10 + 10 + -5x Combine like terms: 2 + 10 = 12 -18 + 5x = 12 + 10 + -5x Combine like terms: 12 + 10 = 22 -18 + 5x = 22 + -5x Solving -18 + 5x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -18 + 5x + 5x = 22 + -5x + 5x Combine like terms: 5x + 5x = 10x -18 + 10x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 10x = 22 + 0 -18 + 10x = 22 Add '18' to each side of the equation. -18 + 18 + 10x = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 22 + 18 10x = 22 + 18 Combine like terms: 22 + 18 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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