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Simplifying -5(x + -2) + 12 = 3 + -4(2x + 1) Reorder the terms: -5(-2 + x) + 12 = 3 + -4(2x + 1) (-2 * -5 + x * -5) + 12 = 3 + -4(2x + 1) (10 + -5x) + 12 = 3 + -4(2x + 1) Reorder the terms: 10 + 12 + -5x = 3 + -4(2x + 1) Combine like terms: 10 + 12 = 22 22 + -5x = 3 + -4(2x + 1) Reorder the terms: 22 + -5x = 3 + -4(1 + 2x) 22 + -5x = 3 + (1 * -4 + 2x * -4) 22 + -5x = 3 + (-4 + -8x) Combine like terms: 3 + -4 = -1 22 + -5x = -1 + -8x Solving 22 + -5x = -1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 22 + -5x + 8x = -1 + -8x + 8x Combine like terms: -5x + 8x = 3x 22 + 3x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 22 + 3x = -1 + 0 22 + 3x = -1 Add '-22' to each side of the equation. 22 + -22 + 3x = -1 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = -1 + -22 3x = -1 + -22 Combine like terms: -1 + -22 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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