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Simplifying 7(2x + 3) + -17 = -4 + 10 + 18x Reorder the terms: 7(3 + 2x) + -17 = -4 + 10 + 18x (3 * 7 + 2x * 7) + -17 = -4 + 10 + 18x (21 + 14x) + -17 = -4 + 10 + 18x Reorder the terms: 21 + -17 + 14x = -4 + 10 + 18x Combine like terms: 21 + -17 = 4 4 + 14x = -4 + 10 + 18x Combine like terms: -4 + 10 = 6 4 + 14x = 6 + 18x Solving 4 + 14x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + 14x + -18x = 6 + 18x + -18x Combine like terms: 14x + -18x = -4x 4 + -4x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + -4x = 6 + 0 4 + -4x = 6 Add '-4' to each side of the equation. 4 + -4 + -4x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 6 + -4 -4x = 6 + -4 Combine like terms: 6 + -4 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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