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Simplifying 6x + -3(x + -1) = 4(2x + 1) Reorder the terms: 6x + -3(-1 + x) = 4(2x + 1) 6x + (-1 * -3 + x * -3) = 4(2x + 1) 6x + (3 + -3x) = 4(2x + 1) Reorder the terms: 3 + 6x + -3x = 4(2x + 1) Combine like terms: 6x + -3x = 3x 3 + 3x = 4(2x + 1) Reorder the terms: 3 + 3x = 4(1 + 2x) 3 + 3x = (1 * 4 + 2x * 4) 3 + 3x = (4 + 8x) Solving 3 + 3x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 3x + -8x = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x 3 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -5x = 4 + 0 3 + -5x = 4 Add '-3' to each side of the equation. 3 + -3 + -5x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 4 + -3 -5x = 4 + -3 Combine like terms: 4 + -3 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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