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Simplifying 3x + -1(x + -4) + 3(2x + 5) = 8 Reorder the terms: 3x + -1(-4 + x) + 3(2x + 5) = 8 3x + (-4 * -1 + x * -1) + 3(2x + 5) = 8 3x + (4 + -1x) + 3(2x + 5) = 8 Reorder the terms: 3x + 4 + -1x + 3(5 + 2x) = 8 3x + 4 + -1x + (5 * 3 + 2x * 3) = 8 3x + 4 + -1x + (15 + 6x) = 8 Reorder the terms: 4 + 15 + 3x + -1x + 6x = 8 Combine like terms: 4 + 15 = 19 19 + 3x + -1x + 6x = 8 Combine like terms: 3x + -1x = 2x 19 + 2x + 6x = 8 Combine like terms: 2x + 6x = 8x 19 + 8x = 8 Solving 19 + 8x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 8x = 8 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 8 + -19 8x = 8 + -19 Combine like terms: 8 + -19 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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