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Simplifying 4[3 + 5(3 + -1x) + 2x] = 6 + -2x 4[3 + (3 * 5 + -1x * 5) + 2x] = 6 + -2x 4[3 + (15 + -5x) + 2x] = 6 + -2x Combine like terms: 3 + 15 = 18 4[18 + -5x + 2x] = 6 + -2x Combine like terms: -5x + 2x = -3x 4[18 + -3x] = 6 + -2x [18 * 4 + -3x * 4] = 6 + -2x [72 + -12x] = 6 + -2x Solving 72 + -12x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 72 + -12x + 2x = 6 + -2x + 2x Combine like terms: -12x + 2x = -10x 72 + -10x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 72 + -10x = 6 + 0 72 + -10x = 6 Add '-72' to each side of the equation. 72 + -72 + -10x = 6 + -72 Combine like terms: 72 + -72 = 0 0 + -10x = 6 + -72 -10x = 6 + -72 Combine like terms: 6 + -72 = -66 -10x = -66 Divide each side by '-10'. x = 6.6 Simplifying x = 6.6
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