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Simplifying x + 6 + -8x = 3(5 + -2x) + x Reorder the terms: 6 + x + -8x = 3(5 + -2x) + x Combine like terms: x + -8x = -7x 6 + -7x = 3(5 + -2x) + x 6 + -7x = (5 * 3 + -2x * 3) + x 6 + -7x = (15 + -6x) + x Combine like terms: -6x + x = -5x 6 + -7x = 15 + -5x Solving 6 + -7x = 15 + -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. 6 + -7x + 5x = 15 + -5x + 5x Combine like terms: -7x + 5x = -2x 6 + -2x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + -2x = 15 + 0 6 + -2x = 15 Add '-6' to each side of the equation. 6 + -6 + -2x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 15 + -6 -2x = 15 + -6 Combine like terms: 15 + -6 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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