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Simplifying -5(x + -3) + 4x + 2x = 18 + -7x + 2x + -8 Reorder the terms: -5(-3 + x) + 4x + 2x = 18 + -7x + 2x + -8 (-3 * -5 + x * -5) + 4x + 2x = 18 + -7x + 2x + -8 (15 + -5x) + 4x + 2x = 18 + -7x + 2x + -8 Combine like terms: -5x + 4x = -1x 15 + -1x + 2x = 18 + -7x + 2x + -8 Combine like terms: -1x + 2x = 1x 15 + 1x = 18 + -7x + 2x + -8 Reorder the terms: 15 + 1x = 18 + -8 + -7x + 2x Combine like terms: 18 + -8 = 10 15 + 1x = 10 + -7x + 2x Combine like terms: -7x + 2x = -5x 15 + 1x = 10 + -5x Solving 15 + 1x = 10 + -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. 15 + 1x + 5x = 10 + -5x + 5x Combine like terms: 1x + 5x = 6x 15 + 6x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 6x = 10 + 0 15 + 6x = 10 Add '-15' to each side of the equation. 15 + -15 + 6x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 10 + -15 6x = 10 + -15 Combine like terms: 10 + -15 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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