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Simplifying 16(x + -8) + 64 = 16x + -8(16 + -1x) Reorder the terms: 16(-8 + x) + 64 = 16x + -8(16 + -1x) (-8 * 16 + x * 16) + 64 = 16x + -8(16 + -1x) (-128 + 16x) + 64 = 16x + -8(16 + -1x) Reorder the terms: -128 + 64 + 16x = 16x + -8(16 + -1x) Combine like terms: -128 + 64 = -64 -64 + 16x = 16x + -8(16 + -1x) -64 + 16x = 16x + (16 * -8 + -1x * -8) -64 + 16x = 16x + (-128 + 8x) Reorder the terms: -64 + 16x = -128 + 16x + 8x Combine like terms: 16x + 8x = 24x -64 + 16x = -128 + 24x Solving -64 + 16x = -128 + 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. -64 + 16x + -24x = -128 + 24x + -24x Combine like terms: 16x + -24x = -8x -64 + -8x = -128 + 24x + -24x Combine like terms: 24x + -24x = 0 -64 + -8x = -128 + 0 -64 + -8x = -128 Add '64' to each side of the equation. -64 + 64 + -8x = -128 + 64 Combine like terms: -64 + 64 = 0 0 + -8x = -128 + 64 -8x = -128 + 64 Combine like terms: -128 + 64 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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