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Simplifying 8(2x + 4) = 16(3x + -6) Reorder the terms: 8(4 + 2x) = 16(3x + -6) (4 * 8 + 2x * 8) = 16(3x + -6) (32 + 16x) = 16(3x + -6) Reorder the terms: 32 + 16x = 16(-6 + 3x) 32 + 16x = (-6 * 16 + 3x * 16) 32 + 16x = (-96 + 48x) Solving 32 + 16x = -96 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 32 + 16x + -48x = -96 + 48x + -48x Combine like terms: 16x + -48x = -32x 32 + -32x = -96 + 48x + -48x Combine like terms: 48x + -48x = 0 32 + -32x = -96 + 0 32 + -32x = -96 Add '-32' to each side of the equation. 32 + -32 + -32x = -96 + -32 Combine like terms: 32 + -32 = 0 0 + -32x = -96 + -32 -32x = -96 + -32 Combine like terms: -96 + -32 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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