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Simplifying 18 + -5x = 7x + 4(x + -1) + -5(8 + -3x) Reorder the terms: 18 + -5x = 7x + 4(-1 + x) + -5(8 + -3x) 18 + -5x = 7x + (-1 * 4 + x * 4) + -5(8 + -3x) 18 + -5x = 7x + (-4 + 4x) + -5(8 + -3x) 18 + -5x = 7x + -4 + 4x + (8 * -5 + -3x * -5) 18 + -5x = 7x + -4 + 4x + (-40 + 15x) Reorder the terms: 18 + -5x = -4 + -40 + 7x + 4x + 15x Combine like terms: -4 + -40 = -44 18 + -5x = -44 + 7x + 4x + 15x Combine like terms: 7x + 4x = 11x 18 + -5x = -44 + 11x + 15x Combine like terms: 11x + 15x = 26x 18 + -5x = -44 + 26x Solving 18 + -5x = -44 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 18 + -5x + -26x = -44 + 26x + -26x Combine like terms: -5x + -26x = -31x 18 + -31x = -44 + 26x + -26x Combine like terms: 26x + -26x = 0 18 + -31x = -44 + 0 18 + -31x = -44 Add '-18' to each side of the equation. 18 + -18 + -31x = -44 + -18 Combine like terms: 18 + -18 = 0 0 + -31x = -44 + -18 -31x = -44 + -18 Combine like terms: -44 + -18 = -62 -31x = -62 Divide each side by '-31'. x = 2 Simplifying x = 2
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