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Simplifying 1 + 2x = 3(x + -4) + 2 Reorder the terms: 1 + 2x = 3(-4 + x) + 2 1 + 2x = (-4 * 3 + x * 3) + 2 1 + 2x = (-12 + 3x) + 2 Reorder the terms: 1 + 2x = -12 + 2 + 3x Combine like terms: -12 + 2 = -10 1 + 2x = -10 + 3x Solving 1 + 2x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + 2x + -3x = -10 + 3x + -3x Combine like terms: 2x + -3x = -1x 1 + -1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -1x = -10 + 0 1 + -1x = -10 Add '-1' to each side of the equation. 1 + -1 + -1x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -10 + -1 -1x = -10 + -1 Combine like terms: -10 + -1 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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