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Simplifying 5(x + -12) + 15 = (3 + x) Reorder the terms: 5(-12 + x) + 15 = (3 + x) (-12 * 5 + x * 5) + 15 = (3 + x) (-60 + 5x) + 15 = (3 + x) Reorder the terms: -60 + 15 + 5x = (3 + x) Combine like terms: -60 + 15 = -45 -45 + 5x = (3 + x) Remove parenthesis around (3 + x) -45 + 5x = 3 + x Solving -45 + 5x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -45 + 5x + -1x = 3 + x + -1x Combine like terms: 5x + -1x = 4x -45 + 4x = 3 + x + -1x Combine like terms: x + -1x = 0 -45 + 4x = 3 + 0 -45 + 4x = 3 Add '45' to each side of the equation. -45 + 45 + 4x = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = 3 + 45 4x = 3 + 45 Combine like terms: 3 + 45 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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