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Simplifying 63 = -3(3x + -5) + -5(4x + 2) Reorder the terms: 63 = -3(-5 + 3x) + -5(4x + 2) 63 = (-5 * -3 + 3x * -3) + -5(4x + 2) 63 = (15 + -9x) + -5(4x + 2) Reorder the terms: 63 = 15 + -9x + -5(2 + 4x) 63 = 15 + -9x + (2 * -5 + 4x * -5) 63 = 15 + -9x + (-10 + -20x) Reorder the terms: 63 = 15 + -10 + -9x + -20x Combine like terms: 15 + -10 = 5 63 = 5 + -9x + -20x Combine like terms: -9x + -20x = -29x 63 = 5 + -29x Solving 63 = 5 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 63 + 29x = 5 + -29x + 29x Combine like terms: -29x + 29x = 0 63 + 29x = 5 + 0 63 + 29x = 5 Add '-63' to each side of the equation. 63 + -63 + 29x = 5 + -63 Combine like terms: 63 + -63 = 0 0 + 29x = 5 + -63 29x = 5 + -63 Combine like terms: 5 + -63 = -58 29x = -58 Divide each side by '29'. x = -2 Simplifying x = -2
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