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Simplifying 7x + 8(x + 0.25) = -1(-2x + -10) Reorder the terms: 7x + 8(0.25 + x) = -1(-2x + -10) 7x + (0.25 * 8 + x * 8) = -1(-2x + -10) 7x + (2 + 8x) = -1(-2x + -10) Reorder the terms: 2 + 7x + 8x = -1(-2x + -10) Combine like terms: 7x + 8x = 15x 2 + 15x = -1(-2x + -10) Reorder the terms: 2 + 15x = -1(-10 + -2x) 2 + 15x = (-10 * -1 + -2x * -1) 2 + 15x = (10 + 2x) Solving 2 + 15x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 15x + -2x = 10 + 2x + -2x Combine like terms: 15x + -2x = 13x 2 + 13x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 13x = 10 + 0 2 + 13x = 10 Add '-2' to each side of the equation. 2 + -2 + 13x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 10 + -2 13x = 10 + -2 Combine like terms: 10 + -2 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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