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Simplifying 180 + -1(6x + -7) = 2x + (103 + -1x) Reorder the terms: 180 + -1(-7 + 6x) = 2x + (103 + -1x) 180 + (-7 * -1 + 6x * -1) = 2x + (103 + -1x) 180 + (7 + -6x) = 2x + (103 + -1x) Combine like terms: 180 + 7 = 187 187 + -6x = 2x + (103 + -1x) Remove parenthesis around (103 + -1x) 187 + -6x = 2x + 103 + -1x Reorder the terms: 187 + -6x = 103 + 2x + -1x Combine like terms: 2x + -1x = 1x 187 + -6x = 103 + 1x Solving 187 + -6x = 103 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 187 + -6x + -1x = 103 + 1x + -1x Combine like terms: -6x + -1x = -7x 187 + -7x = 103 + 1x + -1x Combine like terms: 1x + -1x = 0 187 + -7x = 103 + 0 187 + -7x = 103 Add '-187' to each side of the equation. 187 + -187 + -7x = 103 + -187 Combine like terms: 187 + -187 = 0 0 + -7x = 103 + -187 -7x = 103 + -187 Combine like terms: 103 + -187 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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