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Simplifying 3(x + -4) + -5 = 2x + -9 Reorder the terms: 3(-4 + x) + -5 = 2x + -9 (-4 * 3 + x * 3) + -5 = 2x + -9 (-12 + 3x) + -5 = 2x + -9 Reorder the terms: -12 + -5 + 3x = 2x + -9 Combine like terms: -12 + -5 = -17 -17 + 3x = 2x + -9 Reorder the terms: -17 + 3x = -9 + 2x Solving -17 + 3x = -9 + 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 + 3x + -2x = -9 + 2x + -2x Combine like terms: 3x + -2x = 1x -17 + 1x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 1x = -9 + 0 -17 + 1x = -9 Add '17' to each side of the equation. -17 + 17 + 1x = -9 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = -9 + 17 1x = -9 + 17 Combine like terms: -9 + 17 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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