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Simplifying 3.5(90 + x) = 4x + 1.5(90) (90 * 3.5 + x * 3.5) = 4x + 1.5(90) (315 + 3.5x) = 4x + 1.5(90) Multiply 1.5 * 90 315 + 3.5x = 4x + 135 Reorder the terms: 315 + 3.5x = 135 + 4x Solving 315 + 3.5x = 135 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 315 + 3.5x + -4x = 135 + 4x + -4x Combine like terms: 3.5x + -4x = -0.5x 315 + -0.5x = 135 + 4x + -4x Combine like terms: 4x + -4x = 0 315 + -0.5x = 135 + 0 315 + -0.5x = 135 Add '-315' to each side of the equation. 315 + -315 + -0.5x = 135 + -315 Combine like terms: 315 + -315 = 0 0 + -0.5x = 135 + -315 -0.5x = 135 + -315 Combine like terms: 135 + -315 = -180 -0.5x = -180 Divide each side by '-0.5'. x = 360 Simplifying x = 360
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