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Simplifying 7 + 5(10x + 3) = 2(8x + -6) Reorder the terms: 7 + 5(3 + 10x) = 2(8x + -6) 7 + (3 * 5 + 10x * 5) = 2(8x + -6) 7 + (15 + 50x) = 2(8x + -6) Combine like terms: 7 + 15 = 22 22 + 50x = 2(8x + -6) Reorder the terms: 22 + 50x = 2(-6 + 8x) 22 + 50x = (-6 * 2 + 8x * 2) 22 + 50x = (-12 + 16x) Solving 22 + 50x = -12 + 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. 22 + 50x + -16x = -12 + 16x + -16x Combine like terms: 50x + -16x = 34x 22 + 34x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 22 + 34x = -12 + 0 22 + 34x = -12 Add '-22' to each side of the equation. 22 + -22 + 34x = -12 + -22 Combine like terms: 22 + -22 = 0 0 + 34x = -12 + -22 34x = -12 + -22 Combine like terms: -12 + -22 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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