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Simplifying 3(x + -4) + -5 = -5(3x + 7) + -2x Reorder the terms: 3(-4 + x) + -5 = -5(3x + 7) + -2x (-4 * 3 + x * 3) + -5 = -5(3x + 7) + -2x (-12 + 3x) + -5 = -5(3x + 7) + -2x Reorder the terms: -12 + -5 + 3x = -5(3x + 7) + -2x Combine like terms: -12 + -5 = -17 -17 + 3x = -5(3x + 7) + -2x Reorder the terms: -17 + 3x = -5(7 + 3x) + -2x -17 + 3x = (7 * -5 + 3x * -5) + -2x -17 + 3x = (-35 + -15x) + -2x Combine like terms: -15x + -2x = -17x -17 + 3x = -35 + -17x Solving -17 + 3x = -35 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -17 + 3x + 17x = -35 + -17x + 17x Combine like terms: 3x + 17x = 20x -17 + 20x = -35 + -17x + 17x Combine like terms: -17x + 17x = 0 -17 + 20x = -35 + 0 -17 + 20x = -35 Add '17' to each side of the equation. -17 + 17 + 20x = -35 + 17 Combine like terms: -17 + 17 = 0 0 + 20x = -35 + 17 20x = -35 + 17 Combine like terms: -35 + 17 = -18 20x = -18 Divide each side by '20'. x = -0.9 Simplifying x = -0.9
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