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Simplifying 4(2 + -1x) = 7(2x + 1) + -17 (2 * 4 + -1x * 4) = 7(2x + 1) + -17 (8 + -4x) = 7(2x + 1) + -17 Reorder the terms: 8 + -4x = 7(1 + 2x) + -17 8 + -4x = (1 * 7 + 2x * 7) + -17 8 + -4x = (7 + 14x) + -17 Reorder the terms: 8 + -4x = 7 + -17 + 14x Combine like terms: 7 + -17 = -10 8 + -4x = -10 + 14x Solving 8 + -4x = -10 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + -4x + -14x = -10 + 14x + -14x Combine like terms: -4x + -14x = -18x 8 + -18x = -10 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -18x = -10 + 0 8 + -18x = -10 Add '-8' to each side of the equation. 8 + -8 + -18x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = -10 + -8 -18x = -10 + -8 Combine like terms: -10 + -8 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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