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Simplifying 3(1 + -1x) + 2x = 3(x + -7) (1 * 3 + -1x * 3) + 2x = 3(x + -7) (3 + -3x) + 2x = 3(x + -7) Combine like terms: -3x + 2x = -1x 3 + -1x = 3(x + -7) Reorder the terms: 3 + -1x = 3(-7 + x) 3 + -1x = (-7 * 3 + x * 3) 3 + -1x = (-21 + 3x) Solving 3 + -1x = -21 + 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. 3 + -1x + -3x = -21 + 3x + -3x Combine like terms: -1x + -3x = -4x 3 + -4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -4x = -21 + 0 3 + -4x = -21 Add '-3' to each side of the equation. 3 + -3 + -4x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -21 + -3 -4x = -21 + -3 Combine like terms: -21 + -3 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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