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Simplifying 5x + 4(1 + -7x) = -5x + -14 5x + (1 * 4 + -7x * 4) = -5x + -14 5x + (4 + -28x) = -5x + -14 Reorder the terms: 4 + 5x + -28x = -5x + -14 Combine like terms: 5x + -28x = -23x 4 + -23x = -5x + -14 Reorder the terms: 4 + -23x = -14 + -5x Solving 4 + -23x = -14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + -23x + 5x = -14 + -5x + 5x Combine like terms: -23x + 5x = -18x 4 + -18x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + -18x = -14 + 0 4 + -18x = -14 Add '-4' to each side of the equation. 4 + -4 + -18x = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -18x = -14 + -4 -18x = -14 + -4 Combine like terms: -14 + -4 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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