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Simplifying 78 + -1(4x + 12) = 4(x + 3) + x Reorder the terms: 78 + -1(12 + 4x) = 4(x + 3) + x 78 + (12 * -1 + 4x * -1) = 4(x + 3) + x 78 + (-12 + -4x) = 4(x + 3) + x Combine like terms: 78 + -12 = 66 66 + -4x = 4(x + 3) + x Reorder the terms: 66 + -4x = 4(3 + x) + x 66 + -4x = (3 * 4 + x * 4) + x 66 + -4x = (12 + 4x) + x Combine like terms: 4x + x = 5x 66 + -4x = 12 + 5x Solving 66 + -4x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 66 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x 66 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 66 + -9x = 12 + 0 66 + -9x = 12 Add '-66' to each side of the equation. 66 + -66 + -9x = 12 + -66 Combine like terms: 66 + -66 = 0 0 + -9x = 12 + -66 -9x = 12 + -66 Combine like terms: 12 + -66 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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