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Simplifying 34 + -7x = 8(-2x + 2) Reorder the terms: 34 + -7x = 8(2 + -2x) 34 + -7x = (2 * 8 + -2x * 8) 34 + -7x = (16 + -16x) Solving 34 + -7x = 16 + -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. 34 + -7x + 16x = 16 + -16x + 16x Combine like terms: -7x + 16x = 9x 34 + 9x = 16 + -16x + 16x Combine like terms: -16x + 16x = 0 34 + 9x = 16 + 0 34 + 9x = 16 Add '-34' to each side of the equation. 34 + -34 + 9x = 16 + -34 Combine like terms: 34 + -34 = 0 0 + 9x = 16 + -34 9x = 16 + -34 Combine like terms: 16 + -34 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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