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Simplifying 142 = 5x + -6(-4x + 15) Reorder the terms: 142 = 5x + -6(15 + -4x) 142 = 5x + (15 * -6 + -4x * -6) 142 = 5x + (-90 + 24x) Reorder the terms: 142 = -90 + 5x + 24x Combine like terms: 5x + 24x = 29x 142 = -90 + 29x Solving 142 = -90 + 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. 142 + -29x = -90 + 29x + -29x Combine like terms: 29x + -29x = 0 142 + -29x = -90 + 0 142 + -29x = -90 Add '-142' to each side of the equation. 142 + -142 + -29x = -90 + -142 Combine like terms: 142 + -142 = 0 0 + -29x = -90 + -142 -29x = -90 + -142 Combine like terms: -90 + -142 = -232 -29x = -232 Divide each side by '-29'. x = 8 Simplifying x = 8
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