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Simplifying 5(x + -2) + 3 = 2(4 + -1x) Reorder the terms: 5(-2 + x) + 3 = 2(4 + -1x) (-2 * 5 + x * 5) + 3 = 2(4 + -1x) (-10 + 5x) + 3 = 2(4 + -1x) Reorder the terms: -10 + 3 + 5x = 2(4 + -1x) Combine like terms: -10 + 3 = -7 -7 + 5x = 2(4 + -1x) -7 + 5x = (4 * 2 + -1x * 2) -7 + 5x = (8 + -2x) Solving -7 + 5x = 8 + -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. -7 + 5x + 2x = 8 + -2x + 2x Combine like terms: 5x + 2x = 7x -7 + 7x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 7x = 8 + 0 -7 + 7x = 8 Add '7' to each side of the equation. -7 + 7 + 7x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 8 + 7 7x = 8 + 7 Combine like terms: 8 + 7 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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