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Simplifying 10(4x + 16) = 8(4x + -12) Reorder the terms: 10(16 + 4x) = 8(4x + -12) (16 * 10 + 4x * 10) = 8(4x + -12) (160 + 40x) = 8(4x + -12) Reorder the terms: 160 + 40x = 8(-12 + 4x) 160 + 40x = (-12 * 8 + 4x * 8) 160 + 40x = (-96 + 32x) Solving 160 + 40x = -96 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 160 + 40x + -32x = -96 + 32x + -32x Combine like terms: 40x + -32x = 8x 160 + 8x = -96 + 32x + -32x Combine like terms: 32x + -32x = 0 160 + 8x = -96 + 0 160 + 8x = -96 Add '-160' to each side of the equation. 160 + -160 + 8x = -96 + -160 Combine like terms: 160 + -160 = 0 0 + 8x = -96 + -160 8x = -96 + -160 Combine like terms: -96 + -160 = -256 8x = -256 Divide each side by '8'. x = -32 Simplifying x = -32
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