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Simplifying 2(x + 3) + -3(x + 5) = 3(x + -2) + -7 Reorder the terms: 2(3 + x) + -3(x + 5) = 3(x + -2) + -7 (3 * 2 + x * 2) + -3(x + 5) = 3(x + -2) + -7 (6 + 2x) + -3(x + 5) = 3(x + -2) + -7 Reorder the terms: 6 + 2x + -3(5 + x) = 3(x + -2) + -7 6 + 2x + (5 * -3 + x * -3) = 3(x + -2) + -7 6 + 2x + (-15 + -3x) = 3(x + -2) + -7 Reorder the terms: 6 + -15 + 2x + -3x = 3(x + -2) + -7 Combine like terms: 6 + -15 = -9 -9 + 2x + -3x = 3(x + -2) + -7 Combine like terms: 2x + -3x = -1x -9 + -1x = 3(x + -2) + -7 Reorder the terms: -9 + -1x = 3(-2 + x) + -7 -9 + -1x = (-2 * 3 + x * 3) + -7 -9 + -1x = (-6 + 3x) + -7 Reorder the terms: -9 + -1x = -6 + -7 + 3x Combine like terms: -6 + -7 = -13 -9 + -1x = -13 + 3x Solving -9 + -1x = -13 + 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. -9 + -1x + -3x = -13 + 3x + -3x Combine like terms: -1x + -3x = -4x -9 + -4x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -4x = -13 + 0 -9 + -4x = -13 Add '9' to each side of the equation. -9 + 9 + -4x = -13 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = -13 + 9 -4x = -13 + 9 Combine like terms: -13 + 9 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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