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Simplifying -6(x + -5) + 3(4x + -5) = 63 Reorder the terms: -6(-5 + x) + 3(4x + -5) = 63 (-5 * -6 + x * -6) + 3(4x + -5) = 63 (30 + -6x) + 3(4x + -5) = 63 Reorder the terms: 30 + -6x + 3(-5 + 4x) = 63 30 + -6x + (-5 * 3 + 4x * 3) = 63 30 + -6x + (-15 + 12x) = 63 Reorder the terms: 30 + -15 + -6x + 12x = 63 Combine like terms: 30 + -15 = 15 15 + -6x + 12x = 63 Combine like terms: -6x + 12x = 6x 15 + 6x = 63 Solving 15 + 6x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6x = 63 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 63 + -15 6x = 63 + -15 Combine like terms: 63 + -15 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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