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Simplifying 4(1 + -1x) + -1(3x + 8) = 15 (1 * 4 + -1x * 4) + -1(3x + 8) = 15 (4 + -4x) + -1(3x + 8) = 15 Reorder the terms: 4 + -4x + -1(8 + 3x) = 15 4 + -4x + (8 * -1 + 3x * -1) = 15 4 + -4x + (-8 + -3x) = 15 Reorder the terms: 4 + -8 + -4x + -3x = 15 Combine like terms: 4 + -8 = -4 -4 + -4x + -3x = 15 Combine like terms: -4x + -3x = -7x -4 + -7x = 15 Solving -4 + -7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 15 + 4 -7x = 15 + 4 Combine like terms: 15 + 4 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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