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Simplifying 3x + -1x + 12 + -6x = 4(5 + -2x) + -1(4x) Reorder the terms: 12 + 3x + -1x + -6x = 4(5 + -2x) + -1(4x) Combine like terms: 3x + -1x = 2x 12 + 2x + -6x = 4(5 + -2x) + -1(4x) Combine like terms: 2x + -6x = -4x 12 + -4x = 4(5 + -2x) + -1(4x) 12 + -4x = (5 * 4 + -2x * 4) + -1(4x) 12 + -4x = (20 + -8x) + -1(4x) Remove parenthesis around (4x) 12 + -4x = 20 + -8x + -1 * 4x Multiply -1 * 4 12 + -4x = 20 + -8x + -4x Combine like terms: -8x + -4x = -12x 12 + -4x = 20 + -12x Solving 12 + -4x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + -4x + 12x = 20 + -12x + 12x Combine like terms: -4x + 12x = 8x 12 + 8x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 8x = 20 + 0 12 + 8x = 20 Add '-12' to each side of the equation. 12 + -12 + 8x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 20 + -12 8x = 20 + -12 Combine like terms: 20 + -12 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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