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Simplifying 5(2x + -2) + -7x = 5 + -1(4x + 3) Reorder the terms: 5(-2 + 2x) + -7x = 5 + -1(4x + 3) (-2 * 5 + 2x * 5) + -7x = 5 + -1(4x + 3) (-10 + 10x) + -7x = 5 + -1(4x + 3) Combine like terms: 10x + -7x = 3x -10 + 3x = 5 + -1(4x + 3) Reorder the terms: -10 + 3x = 5 + -1(3 + 4x) -10 + 3x = 5 + (3 * -1 + 4x * -1) -10 + 3x = 5 + (-3 + -4x) Combine like terms: 5 + -3 = 2 -10 + 3x = 2 + -4x Solving -10 + 3x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 3x + 4x = 2 + -4x + 4x Combine like terms: 3x + 4x = 7x -10 + 7x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 7x = 2 + 0 -10 + 7x = 2 Add '10' to each side of the equation. -10 + 10 + 7x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 2 + 10 7x = 2 + 10 Combine like terms: 2 + 10 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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