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Simplifying -2x + -4(x + -2) = 3(x + 7) + 5 Reorder the terms: -2x + -4(-2 + x) = 3(x + 7) + 5 -2x + (-2 * -4 + x * -4) = 3(x + 7) + 5 -2x + (8 + -4x) = 3(x + 7) + 5 Reorder the terms: 8 + -2x + -4x = 3(x + 7) + 5 Combine like terms: -2x + -4x = -6x 8 + -6x = 3(x + 7) + 5 Reorder the terms: 8 + -6x = 3(7 + x) + 5 8 + -6x = (7 * 3 + x * 3) + 5 8 + -6x = (21 + 3x) + 5 Reorder the terms: 8 + -6x = 21 + 5 + 3x Combine like terms: 21 + 5 = 26 8 + -6x = 26 + 3x Solving 8 + -6x = 26 + 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. 8 + -6x + -3x = 26 + 3x + -3x Combine like terms: -6x + -3x = -9x 8 + -9x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -9x = 26 + 0 8 + -9x = 26 Add '-8' to each side of the equation. 8 + -8 + -9x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 26 + -8 -9x = 26 + -8 Combine like terms: 26 + -8 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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