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Simplifying 16(3x + -6) = 4(6x + 3) Reorder the terms: 16(-6 + 3x) = 4(6x + 3) (-6 * 16 + 3x * 16) = 4(6x + 3) (-96 + 48x) = 4(6x + 3) Reorder the terms: -96 + 48x = 4(3 + 6x) -96 + 48x = (3 * 4 + 6x * 4) -96 + 48x = (12 + 24x) Solving -96 + 48x = 12 + 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. -96 + 48x + -24x = 12 + 24x + -24x Combine like terms: 48x + -24x = 24x -96 + 24x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -96 + 24x = 12 + 0 -96 + 24x = 12 Add '96' to each side of the equation. -96 + 96 + 24x = 12 + 96 Combine like terms: -96 + 96 = 0 0 + 24x = 12 + 96 24x = 12 + 96 Combine like terms: 12 + 96 = 108 24x = 108 Divide each side by '24'. x = 4.5 Simplifying x = 4.5
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