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Simplifying 5(2x + -2) + 3 = 7(x + 3) + -10 Reorder the terms: 5(-2 + 2x) + 3 = 7(x + 3) + -10 (-2 * 5 + 2x * 5) + 3 = 7(x + 3) + -10 (-10 + 10x) + 3 = 7(x + 3) + -10 Reorder the terms: -10 + 3 + 10x = 7(x + 3) + -10 Combine like terms: -10 + 3 = -7 -7 + 10x = 7(x + 3) + -10 Reorder the terms: -7 + 10x = 7(3 + x) + -10 -7 + 10x = (3 * 7 + x * 7) + -10 -7 + 10x = (21 + 7x) + -10 Reorder the terms: -7 + 10x = 21 + -10 + 7x Combine like terms: 21 + -10 = 11 -7 + 10x = 11 + 7x Solving -7 + 10x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 10x + -7x = 11 + 7x + -7x Combine like terms: 10x + -7x = 3x -7 + 3x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 3x = 11 + 0 -7 + 3x = 11 Add '7' to each side of the equation. -7 + 7 + 3x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 11 + 7 3x = 11 + 7 Combine like terms: 11 + 7 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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