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