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Simplifying 3x + 4 = 5x + -2(7 + -2x) Reorder the terms: 4 + 3x = 5x + -2(7 + -2x) 4 + 3x = 5x + (7 * -2 + -2x * -2) 4 + 3x = 5x + (-14 + 4x) Reorder the terms: 4 + 3x = -14 + 5x + 4x Combine like terms: 5x + 4x = 9x 4 + 3x = -14 + 9x Solving 4 + 3x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 3x + -9x = -14 + 9x + -9x Combine like terms: 3x + -9x = -6x 4 + -6x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -6x = -14 + 0 4 + -6x = -14 Add '-4' to each side of the equation. 4 + -4 + -6x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -14 + -4 -6x = -14 + -4 Combine like terms: -14 + -4 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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