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Simplifying 5(2x + -3) + -2(x + 1) = x + -4 Reorder the terms: 5(-3 + 2x) + -2(x + 1) = x + -4 (-3 * 5 + 2x * 5) + -2(x + 1) = x + -4 (-15 + 10x) + -2(x + 1) = x + -4 Reorder the terms: -15 + 10x + -2(1 + x) = x + -4 -15 + 10x + (1 * -2 + x * -2) = x + -4 -15 + 10x + (-2 + -2x) = x + -4 Reorder the terms: -15 + -2 + 10x + -2x = x + -4 Combine like terms: -15 + -2 = -17 -17 + 10x + -2x = x + -4 Combine like terms: 10x + -2x = 8x -17 + 8x = x + -4 Reorder the terms: -17 + 8x = -4 + x Solving -17 + 8x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 8x + -1x = -4 + x + -1x Combine like terms: 8x + -1x = 7x -17 + 7x = -4 + x + -1x Combine like terms: x + -1x = 0 -17 + 7x = -4 + 0 -17 + 7x = -4 Add '17' to each side of the equation. -17 + 17 + 7x = -4 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -4 + 17 7x = -4 + 17 Combine like terms: -4 + 17 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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