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Simplifying 4[x + 3(2 + -1x)] = 2x + 1 4[x + (2 * 3 + -1x * 3)] = 2x + 1 4[x + (6 + -3x)] = 2x + 1 Reorder the terms: 4[6 + x + -3x] = 2x + 1 Combine like terms: x + -3x = -2x 4[6 + -2x] = 2x + 1 [6 * 4 + -2x * 4] = 2x + 1 [24 + -8x] = 2x + 1 Reorder the terms: 24 + -8x = 1 + 2x Solving 24 + -8x = 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. 24 + -8x + -2x = 1 + 2x + -2x Combine like terms: -8x + -2x = -10x 24 + -10x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -10x = 1 + 0 24 + -10x = 1 Add '-24' to each side of the equation. 24 + -24 + -10x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 1 + -24 -10x = 1 + -24 Combine like terms: 1 + -24 = -23 -10x = -23 Divide each side by '-10'. x = 2.3 Simplifying x = 2.3
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