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Simplifying 5x + -8(x + 2) = 4(2x + 4) + 1 Reorder the terms: 5x + -8(2 + x) = 4(2x + 4) + 1 5x + (2 * -8 + x * -8) = 4(2x + 4) + 1 5x + (-16 + -8x) = 4(2x + 4) + 1 Reorder the terms: -16 + 5x + -8x = 4(2x + 4) + 1 Combine like terms: 5x + -8x = -3x -16 + -3x = 4(2x + 4) + 1 Reorder the terms: -16 + -3x = 4(4 + 2x) + 1 -16 + -3x = (4 * 4 + 2x * 4) + 1 -16 + -3x = (16 + 8x) + 1 Reorder the terms: -16 + -3x = 16 + 1 + 8x Combine like terms: 16 + 1 = 17 -16 + -3x = 17 + 8x Solving -16 + -3x = 17 + 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. -16 + -3x + -8x = 17 + 8x + -8x Combine like terms: -3x + -8x = -11x -16 + -11x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -11x = 17 + 0 -16 + -11x = 17 Add '16' to each side of the equation. -16 + 16 + -11x = 17 + 16 Combine like terms: -16 + 16 = 0 0 + -11x = 17 + 16 -11x = 17 + 16 Combine like terms: 17 + 16 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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