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Simplifying 4(2x + 5) + -1x = 3(11 + -4x) + 3x Reorder the terms: 4(5 + 2x) + -1x = 3(11 + -4x) + 3x (5 * 4 + 2x * 4) + -1x = 3(11 + -4x) + 3x (20 + 8x) + -1x = 3(11 + -4x) + 3x Combine like terms: 8x + -1x = 7x 20 + 7x = 3(11 + -4x) + 3x 20 + 7x = (11 * 3 + -4x * 3) + 3x 20 + 7x = (33 + -12x) + 3x Combine like terms: -12x + 3x = -9x 20 + 7x = 33 + -9x Solving 20 + 7x = 33 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 20 + 7x + 9x = 33 + -9x + 9x Combine like terms: 7x + 9x = 16x 20 + 16x = 33 + -9x + 9x Combine like terms: -9x + 9x = 0 20 + 16x = 33 + 0 20 + 16x = 33 Add '-20' to each side of the equation. 20 + -20 + 16x = 33 + -20 Combine like terms: 20 + -20 = 0 0 + 16x = 33 + -20 16x = 33 + -20 Combine like terms: 33 + -20 = 13 16x = 13 Divide each side by '16'. x = 0.8125 Simplifying x = 0.8125
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