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Simplifying 3x + 53 = 180 + -1(6x + -35) Reorder the terms: 53 + 3x = 180 + -1(6x + -35) Reorder the terms: 53 + 3x = 180 + -1(-35 + 6x) 53 + 3x = 180 + (-35 * -1 + 6x * -1) 53 + 3x = 180 + (35 + -6x) Combine like terms: 180 + 35 = 215 53 + 3x = 215 + -6x Solving 53 + 3x = 215 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 53 + 3x + 6x = 215 + -6x + 6x Combine like terms: 3x + 6x = 9x 53 + 9x = 215 + -6x + 6x Combine like terms: -6x + 6x = 0 53 + 9x = 215 + 0 53 + 9x = 215 Add '-53' to each side of the equation. 53 + -53 + 9x = 215 + -53 Combine like terms: 53 + -53 = 0 0 + 9x = 215 + -53 9x = 215 + -53 Combine like terms: 215 + -53 = 162 9x = 162 Divide each side by '9'. x = 18 Simplifying x = 18
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