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Simplifying 5 + -8(8x + 32) + 1 = 1 + -2(12x + -2) + 15 Reorder the terms: 5 + -8(32 + 8x) + 1 = 1 + -2(12x + -2) + 15 5 + (32 * -8 + 8x * -8) + 1 = 1 + -2(12x + -2) + 15 5 + (-256 + -64x) + 1 = 1 + -2(12x + -2) + 15 Reorder the terms: 5 + -256 + 1 + -64x = 1 + -2(12x + -2) + 15 Combine like terms: 5 + -256 = -251 -251 + 1 + -64x = 1 + -2(12x + -2) + 15 Combine like terms: -251 + 1 = -250 -250 + -64x = 1 + -2(12x + -2) + 15 Reorder the terms: -250 + -64x = 1 + -2(-2 + 12x) + 15 -250 + -64x = 1 + (-2 * -2 + 12x * -2) + 15 -250 + -64x = 1 + (4 + -24x) + 15 Reorder the terms: -250 + -64x = 1 + 4 + 15 + -24x Combine like terms: 1 + 4 = 5 -250 + -64x = 5 + 15 + -24x Combine like terms: 5 + 15 = 20 -250 + -64x = 20 + -24x Solving -250 + -64x = 20 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -250 + -64x + 24x = 20 + -24x + 24x Combine like terms: -64x + 24x = -40x -250 + -40x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 -250 + -40x = 20 + 0 -250 + -40x = 20 Add '250' to each side of the equation. -250 + 250 + -40x = 20 + 250 Combine like terms: -250 + 250 = 0 0 + -40x = 20 + 250 -40x = 20 + 250 Combine like terms: 20 + 250 = 270 -40x = 270 Divide each side by '-40'. x = -6.75 Simplifying x = -6.75
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