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Simplifying 2(x + 7) + -3(x + 4) = 3(x + 5) + -5 Reorder the terms: 2(7 + x) + -3(x + 4) = 3(x + 5) + -5 (7 * 2 + x * 2) + -3(x + 4) = 3(x + 5) + -5 (14 + 2x) + -3(x + 4) = 3(x + 5) + -5 Reorder the terms: 14 + 2x + -3(4 + x) = 3(x + 5) + -5 14 + 2x + (4 * -3 + x * -3) = 3(x + 5) + -5 14 + 2x + (-12 + -3x) = 3(x + 5) + -5 Reorder the terms: 14 + -12 + 2x + -3x = 3(x + 5) + -5 Combine like terms: 14 + -12 = 2 2 + 2x + -3x = 3(x + 5) + -5 Combine like terms: 2x + -3x = -1x 2 + -1x = 3(x + 5) + -5 Reorder the terms: 2 + -1x = 3(5 + x) + -5 2 + -1x = (5 * 3 + x * 3) + -5 2 + -1x = (15 + 3x) + -5 Reorder the terms: 2 + -1x = 15 + -5 + 3x Combine like terms: 15 + -5 = 10 2 + -1x = 10 + 3x Solving 2 + -1x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + -1x + -3x = 10 + 3x + -3x Combine like terms: -1x + -3x = -4x 2 + -4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -4x = 10 + 0 2 + -4x = 10 Add '-2' to each side of the equation. 2 + -2 + -4x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 10 + -2 -4x = 10 + -2 Combine like terms: 10 + -2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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