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Simplifying 120 + x * 4 = (x + 10) * 8 Reorder the terms for easier multiplication: 120 + 4x = (x + 10) * 8 Reorder the terms: 120 + 4x = (10 + x) * 8 Reorder the terms for easier multiplication: 120 + 4x = 8(10 + x) 120 + 4x = (10 * 8 + x * 8) 120 + 4x = (80 + 8x) Solving 120 + 4x = 80 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 120 + 4x + -8x = 80 + 8x + -8x Combine like terms: 4x + -8x = -4x 120 + -4x = 80 + 8x + -8x Combine like terms: 8x + -8x = 0 120 + -4x = 80 + 0 120 + -4x = 80 Add '-120' to each side of the equation. 120 + -120 + -4x = 80 + -120 Combine like terms: 120 + -120 = 0 0 + -4x = 80 + -120 -4x = 80 + -120 Combine like terms: 80 + -120 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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