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Simplifying 3(x + 4) + -5 = 5(x + -6) Reorder the terms: 3(4 + x) + -5 = 5(x + -6) (4 * 3 + x * 3) + -5 = 5(x + -6) (12 + 3x) + -5 = 5(x + -6) Reorder the terms: 12 + -5 + 3x = 5(x + -6) Combine like terms: 12 + -5 = 7 7 + 3x = 5(x + -6) Reorder the terms: 7 + 3x = 5(-6 + x) 7 + 3x = (-6 * 5 + x * 5) 7 + 3x = (-30 + 5x) Solving 7 + 3x = -30 + 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. 7 + 3x + -5x = -30 + 5x + -5x Combine like terms: 3x + -5x = -2x 7 + -2x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -2x = -30 + 0 7 + -2x = -30 Add '-7' to each side of the equation. 7 + -7 + -2x = -30 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -30 + -7 -2x = -30 + -7 Combine like terms: -30 + -7 = -37 -2x = -37 Divide each side by '-2'. x = 18.5 Simplifying x = 18.5
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