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Simplifying 18 + -1(7x + -4) = -1 + -1(23 + x) Reorder the terms: 18 + -1(-4 + 7x) = -1 + -1(23 + x) 18 + (-4 * -1 + 7x * -1) = -1 + -1(23 + x) 18 + (4 + -7x) = -1 + -1(23 + x) Combine like terms: 18 + 4 = 22 22 + -7x = -1 + -1(23 + x) 22 + -7x = -1 + (23 * -1 + x * -1) 22 + -7x = -1 + (-23 + -1x) Combine like terms: -1 + -23 = -24 22 + -7x = -24 + -1x Solving 22 + -7x = -24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 22 + -7x + x = -24 + -1x + x Combine like terms: -7x + x = -6x 22 + -6x = -24 + -1x + x Combine like terms: -1x + x = 0 22 + -6x = -24 + 0 22 + -6x = -24 Add '-22' to each side of the equation. 22 + -22 + -6x = -24 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = -24 + -22 -6x = -24 + -22 Combine like terms: -24 + -22 = -46 -6x = -46 Divide each side by '-6'. x = 7.666666667 Simplifying x = 7.666666667
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