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Simplifying 3x + 6 + -3 = 5(x + 7) + -4 Reorder the terms: 6 + -3 + 3x = 5(x + 7) + -4 Combine like terms: 6 + -3 = 3 3 + 3x = 5(x + 7) + -4 Reorder the terms: 3 + 3x = 5(7 + x) + -4 3 + 3x = (7 * 5 + x * 5) + -4 3 + 3x = (35 + 5x) + -4 Reorder the terms: 3 + 3x = 35 + -4 + 5x Combine like terms: 35 + -4 = 31 3 + 3x = 31 + 5x Solving 3 + 3x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 3x + -5x = 31 + 5x + -5x Combine like terms: 3x + -5x = -2x 3 + -2x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -2x = 31 + 0 3 + -2x = 31 Add '-3' to each side of the equation. 3 + -3 + -2x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 31 + -3 -2x = 31 + -3 Combine like terms: 31 + -3 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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