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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 = 6 6 + 2x + -3x = 2 + -5(x + -2) + 10 Combine like terms: 2x + -3x = -1x 6 + -1x = 2 + -5(x + -2) + 10 Reorder the terms: 6 + -1x = 2 + -5(-2 + x) + 10 6 + -1x = 2 + (-2 * -5 + x * -5) + 10 6 + -1x = 2 + (10 + -5x) + 10 Reorder the terms: 6 + -1x = 2 + 10 + 10 + -5x Combine like terms: 2 + 10 = 12 6 + -1x = 12 + 10 + -5x Combine like terms: 12 + 10 = 22 6 + -1x = 22 + -5x Solving 6 + -1x = 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. 6 + -1x + 5x = 22 + -5x + 5x Combine like terms: -1x + 5x = 4x 6 + 4x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 4x = 22 + 0 6 + 4x = 22 Add '-6' to each side of the equation. 6 + -6 + 4x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 22 + -6 4x = 22 + -6 Combine like terms: 22 + -6 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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