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Simplifying -5x + 4(x + 11) = 8(2x + 1) Reorder the terms: -5x + 4(11 + x) = 8(2x + 1) -5x + (11 * 4 + x * 4) = 8(2x + 1) -5x + (44 + 4x) = 8(2x + 1) Reorder the terms: 44 + -5x + 4x = 8(2x + 1) Combine like terms: -5x + 4x = -1x 44 + -1x = 8(2x + 1) Reorder the terms: 44 + -1x = 8(1 + 2x) 44 + -1x = (1 * 8 + 2x * 8) 44 + -1x = (8 + 16x) Solving 44 + -1x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 44 + -1x + -16x = 8 + 16x + -16x Combine like terms: -1x + -16x = -17x 44 + -17x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 44 + -17x = 8 + 0 44 + -17x = 8 Add '-44' to each side of the equation. 44 + -44 + -17x = 8 + -44 Combine like terms: 44 + -44 = 0 0 + -17x = 8 + -44 -17x = 8 + -44 Combine like terms: 8 + -44 = -36 -17x = -36 Divide each side by '-17'. x = 2.117647059 Simplifying x = 2.117647059
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