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Simplifying -7(x + -5) + 2(5x + -3) = 2(x + 2) + 6 Reorder the terms: -7(-5 + x) + 2(5x + -3) = 2(x + 2) + 6 (-5 * -7 + x * -7) + 2(5x + -3) = 2(x + 2) + 6 (35 + -7x) + 2(5x + -3) = 2(x + 2) + 6 Reorder the terms: 35 + -7x + 2(-3 + 5x) = 2(x + 2) + 6 35 + -7x + (-3 * 2 + 5x * 2) = 2(x + 2) + 6 35 + -7x + (-6 + 10x) = 2(x + 2) + 6 Reorder the terms: 35 + -6 + -7x + 10x = 2(x + 2) + 6 Combine like terms: 35 + -6 = 29 29 + -7x + 10x = 2(x + 2) + 6 Combine like terms: -7x + 10x = 3x 29 + 3x = 2(x + 2) + 6 Reorder the terms: 29 + 3x = 2(2 + x) + 6 29 + 3x = (2 * 2 + x * 2) + 6 29 + 3x = (4 + 2x) + 6 Reorder the terms: 29 + 3x = 4 + 6 + 2x Combine like terms: 4 + 6 = 10 29 + 3x = 10 + 2x Solving 29 + 3x = 10 + 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. 29 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 29 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + 1x = 10 + 0 29 + 1x = 10 Add '-29' to each side of the equation. 29 + -29 + 1x = 10 + -29 Combine like terms: 29 + -29 = 0 0 + 1x = 10 + -29 1x = 10 + -29 Combine like terms: 10 + -29 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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