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Simplifying 3(x + -2) + 1 = 2(x + -4) + 3x Reorder the terms: 3(-2 + x) + 1 = 2(x + -4) + 3x (-2 * 3 + x * 3) + 1 = 2(x + -4) + 3x (-6 + 3x) + 1 = 2(x + -4) + 3x Reorder the terms: -6 + 1 + 3x = 2(x + -4) + 3x Combine like terms: -6 + 1 = -5 -5 + 3x = 2(x + -4) + 3x Reorder the terms: -5 + 3x = 2(-4 + x) + 3x -5 + 3x = (-4 * 2 + x * 2) + 3x -5 + 3x = (-8 + 2x) + 3x Combine like terms: 2x + 3x = 5x -5 + 3x = -8 + 5x Solving -5 + 3x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = -8 + 0 -5 + -2x = -8 Add '5' to each side of the equation. -5 + 5 + -2x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -8 + 5 -2x = -8 + 5 Combine like terms: -8 + 5 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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