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Simplifying 2(x + -4) + -3(x + 3) = 2x + -2 Reorder the terms: 2(-4 + x) + -3(x + 3) = 2x + -2 (-4 * 2 + x * 2) + -3(x + 3) = 2x + -2 (-8 + 2x) + -3(x + 3) = 2x + -2 Reorder the terms: -8 + 2x + -3(3 + x) = 2x + -2 -8 + 2x + (3 * -3 + x * -3) = 2x + -2 -8 + 2x + (-9 + -3x) = 2x + -2 Reorder the terms: -8 + -9 + 2x + -3x = 2x + -2 Combine like terms: -8 + -9 = -17 -17 + 2x + -3x = 2x + -2 Combine like terms: 2x + -3x = -1x -17 + -1x = 2x + -2 Reorder the terms: -17 + -1x = -2 + 2x Solving -17 + -1x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + -1x + -2x = -2 + 2x + -2x Combine like terms: -1x + -2x = -3x -17 + -3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -3x = -2 + 0 -17 + -3x = -2 Add '17' to each side of the equation. -17 + 17 + -3x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -3x = -2 + 17 -3x = -2 + 17 Combine like terms: -2 + 17 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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