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Simplifying 3x + -17 = 180 + -1(40 + x + 40) Reorder the terms: -17 + 3x = 180 + -1(40 + x + 40) Reorder the terms: -17 + 3x = 180 + -1(40 + 40 + x) Combine like terms: 40 + 40 = 80 -17 + 3x = 180 + -1(80 + x) -17 + 3x = 180 + (80 * -1 + x * -1) -17 + 3x = 180 + (-80 + -1x) Combine like terms: 180 + -80 = 100 -17 + 3x = 100 + -1x Solving -17 + 3x = 100 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -17 + 3x + x = 100 + -1x + x Combine like terms: 3x + x = 4x -17 + 4x = 100 + -1x + x Combine like terms: -1x + x = 0 -17 + 4x = 100 + 0 -17 + 4x = 100 Add '17' to each side of the equation. -17 + 17 + 4x = 100 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 100 + 17 4x = 100 + 17 Combine like terms: 100 + 17 = 117 4x = 117 Divide each side by '4'. x = 29.25 Simplifying x = 29.25
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