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Simplifying -5x + 12 + -17x = -3(5x + 8) Reorder the terms: 12 + -5x + -17x = -3(5x + 8) Combine like terms: -5x + -17x = -22x 12 + -22x = -3(5x + 8) Reorder the terms: 12 + -22x = -3(8 + 5x) 12 + -22x = (8 * -3 + 5x * -3) 12 + -22x = (-24 + -15x) Solving 12 + -22x = -24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 12 + -22x + 15x = -24 + -15x + 15x Combine like terms: -22x + 15x = -7x 12 + -7x = -24 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + -7x = -24 + 0 12 + -7x = -24 Add '-12' to each side of the equation. 12 + -12 + -7x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -24 + -12 -7x = -24 + -12 Combine like terms: -24 + -12 = -36 -7x = -36 Divide each side by '-7'. x = 5.142857143 Simplifying x = 5.142857143
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