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Simplifying 0.75(4x + 16) = 2x + 9 Reorder the terms: 0.75(16 + 4x) = 2x + 9 (16 * 0.75 + 4x * 0.75) = 2x + 9 (12 + 3x) = 2x + 9 Reorder the terms: 12 + 3x = 9 + 2x Solving 12 + 3x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 9 + 0 12 + 1x = 9 Add '-12' to each side of the equation. 12 + -12 + 1x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 9 + -12 1x = 9 + -12 Combine like terms: 9 + -12 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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