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Simplifying 3(x + 4) = 5(x + -3) + 23 Reorder the terms: 3(4 + x) = 5(x + -3) + 23 (4 * 3 + x * 3) = 5(x + -3) + 23 (12 + 3x) = 5(x + -3) + 23 Reorder the terms: 12 + 3x = 5(-3 + x) + 23 12 + 3x = (-3 * 5 + x * 5) + 23 12 + 3x = (-15 + 5x) + 23 Reorder the terms: 12 + 3x = -15 + 23 + 5x Combine like terms: -15 + 23 = 8 12 + 3x = 8 + 5x Solving 12 + 3x = 8 + 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. 12 + 3x + -5x = 8 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = 8 + 0 12 + -2x = 8 Add '-12' to each side of the equation. 12 + -12 + -2x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 8 + -12 -2x = 8 + -12 Combine like terms: 8 + -12 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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