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Simplifying 15x + 4(12 + -4x) = 46.25 15x + (12 * 4 + -4x * 4) = 46.25 15x + (48 + -16x) = 46.25 Reorder the terms: 48 + 15x + -16x = 46.25 Combine like terms: 15x + -16x = -1x 48 + -1x = 46.25 Solving 48 + -1x = 46.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 46.25 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 46.25 + -48 -1x = 46.25 + -48 Combine like terms: 46.25 + -48 = -1.75 -1x = -1.75 Divide each side by '-1'. x = 1.75 Simplifying x = 1.75
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