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Simplifying 3(x + 5) + -12 = 4x + 5 Reorder the terms: 3(5 + x) + -12 = 4x + 5 (5 * 3 + x * 3) + -12 = 4x + 5 (15 + 3x) + -12 = 4x + 5 Reorder the terms: 15 + -12 + 3x = 4x + 5 Combine like terms: 15 + -12 = 3 3 + 3x = 4x + 5 Reorder the terms: 3 + 3x = 5 + 4x Solving 3 + 3x = 5 + 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. 3 + 3x + -4x = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 5 + 0 3 + -1x = 5 Add '-3' to each side of the equation. 3 + -3 + -1x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 5 + -3 -1x = 5 + -3 Combine like terms: 5 + -3 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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