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Simplifying 3(x + 4) = 2(2x + -5) + 13 Reorder the terms: 3(4 + x) = 2(2x + -5) + 13 (4 * 3 + x * 3) = 2(2x + -5) + 13 (12 + 3x) = 2(2x + -5) + 13 Reorder the terms: 12 + 3x = 2(-5 + 2x) + 13 12 + 3x = (-5 * 2 + 2x * 2) + 13 12 + 3x = (-10 + 4x) + 13 Reorder the terms: 12 + 3x = -10 + 13 + 4x Combine like terms: -10 + 13 = 3 12 + 3x = 3 + 4x Solving 12 + 3x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 3x + -4x = 3 + 4x + -4x Combine like terms: 3x + -4x = -1x 12 + -1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -1x = 3 + 0 12 + -1x = 3 Add '-12' to each side of the equation. 12 + -12 + -1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 3 + -12 -1x = 3 + -12 Combine like terms: 3 + -12 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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