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Simplifying 3x + 5(-4x + 12) + -1(x + -3) = 0 Reorder the terms: 3x + 5(12 + -4x) + -1(x + -3) = 0 3x + (12 * 5 + -4x * 5) + -1(x + -3) = 0 3x + (60 + -20x) + -1(x + -3) = 0 Reorder the terms: 3x + 60 + -20x + -1(-3 + x) = 0 3x + 60 + -20x + (-3 * -1 + x * -1) = 0 3x + 60 + -20x + (3 + -1x) = 0 Reorder the terms: 60 + 3 + 3x + -20x + -1x = 0 Combine like terms: 60 + 3 = 63 63 + 3x + -20x + -1x = 0 Combine like terms: 3x + -20x = -17x 63 + -17x + -1x = 0 Combine like terms: -17x + -1x = -18x 63 + -18x = 0 Solving 63 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -18x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -18x = 0 + -63 -18x = 0 + -63 Combine like terms: 0 + -63 = -63 -18x = -63 Divide each side by '-18'. x = 3.5 Simplifying x = 3.5
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