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Simplifying (3 + -4x) = 3x + -1(x + -7) * 2 Remove parenthesis around (3 + -4x) 3 + -4x = 3x + -1(x + -7) * 2 Reorder the terms: 3 + -4x = 3x + -1(-7 + x) * 2 Reorder the terms for easier multiplication: 3 + -4x = 3x + -1 * 2(-7 + x) Multiply -1 * 2 3 + -4x = 3x + -2(-7 + x) 3 + -4x = 3x + (-7 * -2 + x * -2) 3 + -4x = 3x + (14 + -2x) Reorder the terms: 3 + -4x = 14 + 3x + -2x Combine like terms: 3x + -2x = 1x 3 + -4x = 14 + 1x Solving 3 + -4x = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -4x + -1x = 14 + 1x + -1x Combine like terms: -4x + -1x = -5x 3 + -5x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -5x = 14 + 0 3 + -5x = 14 Add '-3' to each side of the equation. 3 + -3 + -5x = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 14 + -3 -5x = 14 + -3 Combine like terms: 14 + -3 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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