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Simplifying 2x + 30 = x + 10(180(-2x + 10)) Reorder the terms: 30 + 2x = x + 10(180(-2x + 10)) Reorder the terms: 30 + 2x = x + 10(180(10 + -2x)) 30 + 2x = x + 10((10 * 180 + -2x * 180)) 30 + 2x = x + 10((1800 + -360x)) 30 + 2x = x + (1800 * 10 + -360x * 10) 30 + 2x = x + (18000 + -3600x) Reorder the terms: 30 + 2x = 18000 + x + -3600x Combine like terms: x + -3600x = -3599x 30 + 2x = 18000 + -3599x Solving 30 + 2x = 18000 + -3599x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3599x' to each side of the equation. 30 + 2x + 3599x = 18000 + -3599x + 3599x Combine like terms: 2x + 3599x = 3601x 30 + 3601x = 18000 + -3599x + 3599x Combine like terms: -3599x + 3599x = 0 30 + 3601x = 18000 + 0 30 + 3601x = 18000 Add '-30' to each side of the equation. 30 + -30 + 3601x = 18000 + -30 Combine like terms: 30 + -30 = 0 0 + 3601x = 18000 + -30 3601x = 18000 + -30 Combine like terms: 18000 + -30 = 17970 3601x = 17970 Divide each side by '3601'. x = 4.990280478 Simplifying x = 4.990280478
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