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Simplifying 3x + 4 = 2x + 2(x + -7) Reorder the terms: 4 + 3x = 2x + 2(x + -7) Reorder the terms: 4 + 3x = 2x + 2(-7 + x) 4 + 3x = 2x + (-7 * 2 + x * 2) 4 + 3x = 2x + (-14 + 2x) Reorder the terms: 4 + 3x = -14 + 2x + 2x Combine like terms: 2x + 2x = 4x 4 + 3x = -14 + 4x Solving 4 + 3x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 3x + -4x = -14 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = -14 + 0 4 + -1x = -14 Add '-4' to each side of the equation. 4 + -4 + -1x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -14 + -4 -1x = -14 + -4 Combine like terms: -14 + -4 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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