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Simplifying 3x + -2(x + -5) = 7x + -4(2x + 1) Reorder the terms: 3x + -2(-5 + x) = 7x + -4(2x + 1) 3x + (-5 * -2 + x * -2) = 7x + -4(2x + 1) 3x + (10 + -2x) = 7x + -4(2x + 1) Reorder the terms: 10 + 3x + -2x = 7x + -4(2x + 1) Combine like terms: 3x + -2x = 1x 10 + 1x = 7x + -4(2x + 1) Reorder the terms: 10 + 1x = 7x + -4(1 + 2x) 10 + 1x = 7x + (1 * -4 + 2x * -4) 10 + 1x = 7x + (-4 + -8x) Reorder the terms: 10 + 1x = -4 + 7x + -8x Combine like terms: 7x + -8x = -1x 10 + 1x = -4 + -1x Solving 10 + 1x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 1x + x = -4 + -1x + x Combine like terms: 1x + x = 2x 10 + 2x = -4 + -1x + x Combine like terms: -1x + x = 0 10 + 2x = -4 + 0 10 + 2x = -4 Add '-10' to each side of the equation. 10 + -10 + 2x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -4 + -10 2x = -4 + -10 Combine like terms: -4 + -10 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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