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Simplifying 5(3 + x) = 12x + -3 + -38 (3 * 5 + x * 5) = 12x + -3 + -38 (15 + 5x) = 12x + -3 + -38 Reorder the terms: 15 + 5x = -3 + -38 + 12x Combine like terms: -3 + -38 = -41 15 + 5x = -41 + 12x Solving 15 + 5x = -41 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 5x + -12x = -41 + 12x + -12x Combine like terms: 5x + -12x = -7x 15 + -7x = -41 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -7x = -41 + 0 15 + -7x = -41 Add '-15' to each side of the equation. 15 + -15 + -7x = -41 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -41 + -15 -7x = -41 + -15 Combine like terms: -41 + -15 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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