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Simplifying (4 + x) * 12 + -1(4x + -1) * 6 = 0 Reorder the terms for easier multiplication: 12(4 + x) + -1(4x + -1) * 6 = 0 (4 * 12 + x * 12) + -1(4x + -1) * 6 = 0 (48 + 12x) + -1(4x + -1) * 6 = 0 Reorder the terms: 48 + 12x + -1(-1 + 4x) * 6 = 0 Reorder the terms for easier multiplication: 48 + 12x + -1 * 6(-1 + 4x) = 0 Multiply -1 * 6 48 + 12x + -6(-1 + 4x) = 0 48 + 12x + (-1 * -6 + 4x * -6) = 0 48 + 12x + (6 + -24x) = 0 Reorder the terms: 48 + 6 + 12x + -24x = 0 Combine like terms: 48 + 6 = 54 54 + 12x + -24x = 0 Combine like terms: 12x + -24x = -12x 54 + -12x = 0 Solving 54 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -12x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -12x = 0 + -54 -12x = 0 + -54 Combine like terms: 0 + -54 = -54 -12x = -54 Divide each side by '-12'. x = 4.5 Simplifying x = 4.5
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