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Simplifying -4(2x + 5) + 4x = 2(x + 1) + -6 Reorder the terms: -4(5 + 2x) + 4x = 2(x + 1) + -6 (5 * -4 + 2x * -4) + 4x = 2(x + 1) + -6 (-20 + -8x) + 4x = 2(x + 1) + -6 Combine like terms: -8x + 4x = -4x -20 + -4x = 2(x + 1) + -6 Reorder the terms: -20 + -4x = 2(1 + x) + -6 -20 + -4x = (1 * 2 + x * 2) + -6 -20 + -4x = (2 + 2x) + -6 Reorder the terms: -20 + -4x = 2 + -6 + 2x Combine like terms: 2 + -6 = -4 -20 + -4x = -4 + 2x Solving -20 + -4x = -4 + 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. -20 + -4x + -2x = -4 + 2x + -2x Combine like terms: -4x + -2x = -6x -20 + -6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -6x = -4 + 0 -20 + -6x = -4 Add '20' to each side of the equation. -20 + 20 + -6x = -4 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -4 + 20 -6x = -4 + 20 Combine like terms: -4 + 20 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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