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Simplifying 4(5 + -4x) + 1 = 2(2x + 4) + -5x (5 * 4 + -4x * 4) + 1 = 2(2x + 4) + -5x (20 + -16x) + 1 = 2(2x + 4) + -5x Reorder the terms: 20 + 1 + -16x = 2(2x + 4) + -5x Combine like terms: 20 + 1 = 21 21 + -16x = 2(2x + 4) + -5x Reorder the terms: 21 + -16x = 2(4 + 2x) + -5x 21 + -16x = (4 * 2 + 2x * 2) + -5x 21 + -16x = (8 + 4x) + -5x Combine like terms: 4x + -5x = -1x 21 + -16x = 8 + -1x Solving 21 + -16x = 8 + -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. 21 + -16x + x = 8 + -1x + x Combine like terms: -16x + x = -15x 21 + -15x = 8 + -1x + x Combine like terms: -1x + x = 0 21 + -15x = 8 + 0 21 + -15x = 8 Add '-21' to each side of the equation. 21 + -21 + -15x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -15x = 8 + -21 -15x = 8 + -21 Combine like terms: 8 + -21 = -13 -15x = -13 Divide each side by '-15'. x = 0.8666666667 Simplifying x = 0.8666666667
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