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Simplifying 8x + -15x + 8 = -5 + 8(-2x + 5) Reorder the terms: 8 + 8x + -15x = -5 + 8(-2x + 5) Combine like terms: 8x + -15x = -7x 8 + -7x = -5 + 8(-2x + 5) Reorder the terms: 8 + -7x = -5 + 8(5 + -2x) 8 + -7x = -5 + (5 * 8 + -2x * 8) 8 + -7x = -5 + (40 + -16x) Combine like terms: -5 + 40 = 35 8 + -7x = 35 + -16x Solving 8 + -7x = 35 + -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. 8 + -7x + 16x = 35 + -16x + 16x Combine like terms: -7x + 16x = 9x 8 + 9x = 35 + -16x + 16x Combine like terms: -16x + 16x = 0 8 + 9x = 35 + 0 8 + 9x = 35 Add '-8' to each side of the equation. 8 + -8 + 9x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 35 + -8 9x = 35 + -8 Combine like terms: 35 + -8 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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