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Simplifying 2x + 3(4 + -1x) = 3 + 4(x + -1) 2x + (4 * 3 + -1x * 3) = 3 + 4(x + -1) 2x + (12 + -3x) = 3 + 4(x + -1) Reorder the terms: 12 + 2x + -3x = 3 + 4(x + -1) Combine like terms: 2x + -3x = -1x 12 + -1x = 3 + 4(x + -1) Reorder the terms: 12 + -1x = 3 + 4(-1 + x) 12 + -1x = 3 + (-1 * 4 + x * 4) 12 + -1x = 3 + (-4 + 4x) Combine like terms: 3 + -4 = -1 12 + -1x = -1 + 4x Solving 12 + -1x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -1x + -4x = -1 + 4x + -4x Combine like terms: -1x + -4x = -5x 12 + -5x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -5x = -1 + 0 12 + -5x = -1 Add '-12' to each side of the equation. 12 + -12 + -5x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -1 + -12 -5x = -1 + -12 Combine like terms: -1 + -12 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6
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