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Simplifying 3x + 4 = 5(x + -6) + 32 Reorder the terms: 4 + 3x = 5(x + -6) + 32 Reorder the terms: 4 + 3x = 5(-6 + x) + 32 4 + 3x = (-6 * 5 + x * 5) + 32 4 + 3x = (-30 + 5x) + 32 Reorder the terms: 4 + 3x = -30 + 32 + 5x Combine like terms: -30 + 32 = 2 4 + 3x = 2 + 5x Solving 4 + 3x = 2 + 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. 4 + 3x + -5x = 2 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = 2 + 0 4 + -2x = 2 Add '-4' to each side of the equation. 4 + -4 + -2x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 2 + -4 -2x = 2 + -4 Combine like terms: 2 + -4 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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