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Simplifying 1.25x + 0.30(120 + -1x) = 1.15x 1.25x + (120 * 0.30 + -1x * 0.30) = 1.15x 1.25x + (36 + -0.3x) = 1.15x Reorder the terms: 36 + 1.25x + -0.3x = 1.15x Combine like terms: 1.25x + -0.3x = 0.95x 36 + 0.95x = 1.15x Solving 36 + 0.95x = 1.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.15x' to each side of the equation. 36 + 0.95x + -1.15x = 1.15x + -1.15x Combine like terms: 0.95x + -1.15x = -0.2x 36 + -0.2x = 1.15x + -1.15x Combine like terms: 1.15x + -1.15x = 0.00 36 + -0.2x = 0.00 Add '-36' to each side of the equation. 36 + -36 + -0.2x = 0.00 + -36 Combine like terms: 36 + -36 = 0 0 + -0.2x = 0.00 + -36 -0.2x = 0.00 + -36 Combine like terms: 0.00 + -36 = -36 -0.2x = -36 Divide each side by '-0.2'. x = 180 Simplifying x = 180
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