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Simplifying 180 = (180 + -1(7x + -30)) + 3x + 10 + 40 Reorder the terms: 180 = (180 + -1(-30 + 7x)) + 3x + 10 + 40 180 = (180 + (-30 * -1 + 7x * -1)) + 3x + 10 + 40 180 = (180 + (30 + -7x)) + 3x + 10 + 40 Combine like terms: 180 + 30 = 210 180 = (210 + -7x) + 3x + 10 + 40 Remove parenthesis around (210 + -7x) 180 = 210 + -7x + 3x + 10 + 40 Reorder the terms: 180 = 210 + 10 + 40 + -7x + 3x Combine like terms: 210 + 10 = 220 180 = 220 + 40 + -7x + 3x Combine like terms: 220 + 40 = 260 180 = 260 + -7x + 3x Combine like terms: -7x + 3x = -4x 180 = 260 + -4x Solving 180 = 260 + -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. 180 + 4x = 260 + -4x + 4x Combine like terms: -4x + 4x = 0 180 + 4x = 260 + 0 180 + 4x = 260 Add '-180' to each side of the equation. 180 + -180 + 4x = 260 + -180 Combine like terms: 180 + -180 = 0 0 + 4x = 260 + -180 4x = 260 + -180 Combine like terms: 260 + -180 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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