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Simplifying 3x + 1 = 2(x + -4) + 3x Reorder the terms: 1 + 3x = 2(x + -4) + 3x Reorder the terms: 1 + 3x = 2(-4 + x) + 3x 1 + 3x = (-4 * 2 + x * 2) + 3x 1 + 3x = (-8 + 2x) + 3x Combine like terms: 2x + 3x = 5x 1 + 3x = -8 + 5x Solving 1 + 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. 1 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = -8 + 0 1 + -2x = -8 Add '-1' to each side of the equation. 1 + -1 + -2x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -8 + -1 -2x = -8 + -1 Combine like terms: -8 + -1 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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