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Simplifying 3x + -2(2x + -7) = 2(3 + x) + -4 Reorder the terms: 3x + -2(-7 + 2x) = 2(3 + x) + -4 3x + (-7 * -2 + 2x * -2) = 2(3 + x) + -4 3x + (14 + -4x) = 2(3 + x) + -4 Reorder the terms: 14 + 3x + -4x = 2(3 + x) + -4 Combine like terms: 3x + -4x = -1x 14 + -1x = 2(3 + x) + -4 14 + -1x = (3 * 2 + x * 2) + -4 14 + -1x = (6 + 2x) + -4 Reorder the terms: 14 + -1x = 6 + -4 + 2x Combine like terms: 6 + -4 = 2 14 + -1x = 2 + 2x Solving 14 + -1x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x 14 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -3x = 2 + 0 14 + -3x = 2 Add '-14' to each side of the equation. 14 + -14 + -3x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 2 + -14 -3x = 2 + -14 Combine like terms: 2 + -14 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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