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Simplifying 3x + -1(2x + -5) + 4(x + -1) = 15 Reorder the terms: 3x + -1(-5 + 2x) + 4(x + -1) = 15 3x + (-5 * -1 + 2x * -1) + 4(x + -1) = 15 3x + (5 + -2x) + 4(x + -1) = 15 Reorder the terms: 3x + 5 + -2x + 4(-1 + x) = 15 3x + 5 + -2x + (-1 * 4 + x * 4) = 15 3x + 5 + -2x + (-4 + 4x) = 15 Reorder the terms: 5 + -4 + 3x + -2x + 4x = 15 Combine like terms: 5 + -4 = 1 1 + 3x + -2x + 4x = 15 Combine like terms: 3x + -2x = 1x 1 + 1x + 4x = 15 Combine like terms: 1x + 4x = 5x 1 + 5x = 15 Solving 1 + 5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 15 + -1 5x = 15 + -1 Combine like terms: 15 + -1 = 14 5x = 14 Divide each side by '5'. x = 2.8 Simplifying x = 2.8
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