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Simplifying 4(x + 7) = 2(-1x + 17) Reorder the terms: 4(7 + x) = 2(-1x + 17) (7 * 4 + x * 4) = 2(-1x + 17) (28 + 4x) = 2(-1x + 17) Reorder the terms: 28 + 4x = 2(17 + -1x) 28 + 4x = (17 * 2 + -1x * 2) 28 + 4x = (34 + -2x) Solving 28 + 4x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 28 + 4x + 2x = 34 + -2x + 2x Combine like terms: 4x + 2x = 6x 28 + 6x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + 6x = 34 + 0 28 + 6x = 34 Add '-28' to each side of the equation. 28 + -28 + 6x = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 6x = 34 + -28 6x = 34 + -28 Combine like terms: 34 + -28 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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