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Simplifying 3x + -4x + 5 = 2(x + -7) Reorder the terms: 5 + 3x + -4x = 2(x + -7) Combine like terms: 3x + -4x = -1x 5 + -1x = 2(x + -7) Reorder the terms: 5 + -1x = 2(-7 + x) 5 + -1x = (-7 * 2 + x * 2) 5 + -1x = (-14 + 2x) Solving 5 + -1x = -14 + 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. 5 + -1x + -2x = -14 + 2x + -2x Combine like terms: -1x + -2x = -3x 5 + -3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -3x = -14 + 0 5 + -3x = -14 Add '-5' to each side of the equation. 5 + -5 + -3x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -14 + -5 -3x = -14 + -5 Combine like terms: -14 + -5 = -19 -3x = -19 Divide each side by '-3'. x = 6.333333333 Simplifying x = 6.333333333
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