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Simplifying 2(8x + 2) + 5 = -4(2x + 3) Reorder the terms: 2(2 + 8x) + 5 = -4(2x + 3) (2 * 2 + 8x * 2) + 5 = -4(2x + 3) (4 + 16x) + 5 = -4(2x + 3) Reorder the terms: 4 + 5 + 16x = -4(2x + 3) Combine like terms: 4 + 5 = 9 9 + 16x = -4(2x + 3) Reorder the terms: 9 + 16x = -4(3 + 2x) 9 + 16x = (3 * -4 + 2x * -4) 9 + 16x = (-12 + -8x) Solving 9 + 16x = -12 + -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. 9 + 16x + 8x = -12 + -8x + 8x Combine like terms: 16x + 8x = 24x 9 + 24x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 24x = -12 + 0 9 + 24x = -12 Add '-9' to each side of the equation. 9 + -9 + 24x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 24x = -12 + -9 24x = -12 + -9 Combine like terms: -12 + -9 = -21 24x = -21 Divide each side by '24'. x = -0.875 Simplifying x = -0.875
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