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Simplifying 5x + 3 = 2(x + -7) Reorder the terms: 3 + 5x = 2(x + -7) Reorder the terms: 3 + 5x = 2(-7 + x) 3 + 5x = (-7 * 2 + x * 2) 3 + 5x = (-14 + 2x) Solving 3 + 5x = -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. 3 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = -14 + 0 3 + 3x = -14 Add '-3' to each side of the equation. 3 + -3 + 3x = -14 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -14 + -3 3x = -14 + -3 Combine like terms: -14 + -3 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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