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Simplifying 3[x + 3(2 + -1x)] = 4x + 1 3[x + (2 * 3 + -1x * 3)] = 4x + 1 3[x + (6 + -3x)] = 4x + 1 Reorder the terms: 3[6 + x + -3x] = 4x + 1 Combine like terms: x + -3x = -2x 3[6 + -2x] = 4x + 1 [6 * 3 + -2x * 3] = 4x + 1 [18 + -6x] = 4x + 1 Reorder the terms: 18 + -6x = 1 + 4x Solving 18 + -6x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + -6x + -4x = 1 + 4x + -4x Combine like terms: -6x + -4x = -10x 18 + -10x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -10x = 1 + 0 18 + -10x = 1 Add '-18' to each side of the equation. 18 + -18 + -10x = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = 1 + -18 -10x = 1 + -18 Combine like terms: 1 + -18 = -17 -10x = -17 Divide each side by '-10'. x = 1.7 Simplifying x = 1.7
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