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Simplifying -2x + 7 + -6x = 8x + 3(5 + -8x) Reorder the terms: 7 + -2x + -6x = 8x + 3(5 + -8x) Combine like terms: -2x + -6x = -8x 7 + -8x = 8x + 3(5 + -8x) 7 + -8x = 8x + (5 * 3 + -8x * 3) 7 + -8x = 8x + (15 + -24x) Reorder the terms: 7 + -8x = 15 + 8x + -24x Combine like terms: 8x + -24x = -16x 7 + -8x = 15 + -16x Solving 7 + -8x = 15 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 7 + -8x + 16x = 15 + -16x + 16x Combine like terms: -8x + 16x = 8x 7 + 8x = 15 + -16x + 16x Combine like terms: -16x + 16x = 0 7 + 8x = 15 + 0 7 + 8x = 15 Add '-7' to each side of the equation. 7 + -7 + 8x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 15 + -7 8x = 15 + -7 Combine like terms: 15 + -7 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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