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Simplifying 6[-3x + -1(3 + x) + 6] = -2x + 1 6[-3x + (3 * -1 + x * -1) + 6] = -2x + 1 6[-3x + (-3 + -1x) + 6] = -2x + 1 Reorder the terms: 6[-3 + 6 + -3x + -1x] = -2x + 1 Combine like terms: -3 + 6 = 3 6[3 + -3x + -1x] = -2x + 1 Combine like terms: -3x + -1x = -4x 6[3 + -4x] = -2x + 1 [3 * 6 + -4x * 6] = -2x + 1 [18 + -24x] = -2x + 1 Reorder the terms: 18 + -24x = 1 + -2x Solving 18 + -24x = 1 + -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. 18 + -24x + 2x = 1 + -2x + 2x Combine like terms: -24x + 2x = -22x 18 + -22x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -22x = 1 + 0 18 + -22x = 1 Add '-18' to each side of the equation. 18 + -18 + -22x = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -22x = 1 + -18 -22x = 1 + -18 Combine like terms: 1 + -18 = -17 -22x = -17 Divide each side by '-22'. x = 0.7727272727 Simplifying x = 0.7727272727
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