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Simplifying 5 + -5x = 7x + -3(5x + -6) Reorder the terms: 5 + -5x = 7x + -3(-6 + 5x) 5 + -5x = 7x + (-6 * -3 + 5x * -3) 5 + -5x = 7x + (18 + -15x) Reorder the terms: 5 + -5x = 18 + 7x + -15x Combine like terms: 7x + -15x = -8x 5 + -5x = 18 + -8x Solving 5 + -5x = 18 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 5 + -5x + 8x = 18 + -8x + 8x Combine like terms: -5x + 8x = 3x 5 + 3x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 3x = 18 + 0 5 + 3x = 18 Add '-5' to each side of the equation. 5 + -5 + 3x = 18 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 18 + -5 3x = 18 + -5 Combine like terms: 18 + -5 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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