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Simplifying 4(2x + 4) = 16(3x + -6) Reorder the terms: 4(4 + 2x) = 16(3x + -6) (4 * 4 + 2x * 4) = 16(3x + -6) (16 + 8x) = 16(3x + -6) Reorder the terms: 16 + 8x = 16(-6 + 3x) 16 + 8x = (-6 * 16 + 3x * 16) 16 + 8x = (-96 + 48x) Solving 16 + 8x = -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. 16 + 8x + -48x = -96 + 48x + -48x Combine like terms: 8x + -48x = -40x 16 + -40x = -96 + 48x + -48x Combine like terms: 48x + -48x = 0 16 + -40x = -96 + 0 16 + -40x = -96 Add '-16' to each side of the equation. 16 + -16 + -40x = -96 + -16 Combine like terms: 16 + -16 = 0 0 + -40x = -96 + -16 -40x = -96 + -16 Combine like terms: -96 + -16 = -112 -40x = -112 Divide each side by '-40'. x = 2.8 Simplifying x = 2.8
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