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Simplifying 105(x + 10) = 120x Reorder the terms: 105(10 + x) = 120x (10 * 105 + x * 105) = 120x (1050 + 105x) = 120x Solving 1050 + 105x = 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 1050 + 105x + -120x = 120x + -120x Combine like terms: 105x + -120x = -15x 1050 + -15x = 120x + -120x Combine like terms: 120x + -120x = 0 1050 + -15x = 0 Add '-1050' to each side of the equation. 1050 + -1050 + -15x = 0 + -1050 Combine like terms: 1050 + -1050 = 0 0 + -15x = 0 + -1050 -15x = 0 + -1050 Combine like terms: 0 + -1050 = -1050 -15x = -1050 Divide each side by '-15'. x = 70 Simplifying x = 70
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