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Simplifying 3(x + 4) = 2x + 5 Reorder the terms: 3(4 + x) = 2x + 5 (4 * 3 + x * 3) = 2x + 5 (12 + 3x) = 2x + 5 Reorder the terms: 12 + 3x = 5 + 2x Solving 12 + 3x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 5 + 0 12 + 1x = 5 Add '-12' to each side of the equation. 12 + -12 + 1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 5 + -12 1x = 5 + -12 Combine like terms: 5 + -12 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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