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Simplifying 3x + 7 + -9x = 2(8x + -5) Reorder the terms: 7 + 3x + -9x = 2(8x + -5) Combine like terms: 3x + -9x = -6x 7 + -6x = 2(8x + -5) Reorder the terms: 7 + -6x = 2(-5 + 8x) 7 + -6x = (-5 * 2 + 8x * 2) 7 + -6x = (-10 + 16x) Solving 7 + -6x = -10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + -6x + -16x = -10 + 16x + -16x Combine like terms: -6x + -16x = -22x 7 + -22x = -10 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -22x = -10 + 0 7 + -22x = -10 Add '-7' to each side of the equation. 7 + -7 + -22x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -22x = -10 + -7 -22x = -10 + -7 Combine like terms: -10 + -7 = -17 -22x = -17 Divide each side by '-22'. x = 0.7727272727 Simplifying x = 0.7727272727
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