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Simplifying 30x + 180 = 40(x + 5) * 2 Reorder the terms: 180 + 30x = 40(x + 5) * 2 Reorder the terms: 180 + 30x = 40(5 + x) * 2 Reorder the terms for easier multiplication: 180 + 30x = 40 * 2(5 + x) Multiply 40 * 2 180 + 30x = 80(5 + x) 180 + 30x = (5 * 80 + x * 80) 180 + 30x = (400 + 80x) Solving 180 + 30x = 400 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 180 + 30x + -80x = 400 + 80x + -80x Combine like terms: 30x + -80x = -50x 180 + -50x = 400 + 80x + -80x Combine like terms: 80x + -80x = 0 180 + -50x = 400 + 0 180 + -50x = 400 Add '-180' to each side of the equation. 180 + -180 + -50x = 400 + -180 Combine like terms: 180 + -180 = 0 0 + -50x = 400 + -180 -50x = 400 + -180 Combine like terms: 400 + -180 = 220 -50x = 220 Divide each side by '-50'. x = -4.4 Simplifying x = -4.4
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