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Simplifying 5(2x + -2) + 3 = 3(x + 7) Reorder the terms: 5(-2 + 2x) + 3 = 3(x + 7) (-2 * 5 + 2x * 5) + 3 = 3(x + 7) (-10 + 10x) + 3 = 3(x + 7) Reorder the terms: -10 + 3 + 10x = 3(x + 7) Combine like terms: -10 + 3 = -7 -7 + 10x = 3(x + 7) Reorder the terms: -7 + 10x = 3(7 + x) -7 + 10x = (7 * 3 + x * 3) -7 + 10x = (21 + 3x) Solving -7 + 10x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 10x + -3x = 21 + 3x + -3x Combine like terms: 10x + -3x = 7x -7 + 7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 7x = 21 + 0 -7 + 7x = 21 Add '7' to each side of the equation. -7 + 7 + 7x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 21 + 7 7x = 21 + 7 Combine like terms: 21 + 7 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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