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Simplifying 2x + -3(x + 2) = 2(4x + -1) + 3 Reorder the terms: 2x + -3(2 + x) = 2(4x + -1) + 3 2x + (2 * -3 + x * -3) = 2(4x + -1) + 3 2x + (-6 + -3x) = 2(4x + -1) + 3 Reorder the terms: -6 + 2x + -3x = 2(4x + -1) + 3 Combine like terms: 2x + -3x = -1x -6 + -1x = 2(4x + -1) + 3 Reorder the terms: -6 + -1x = 2(-1 + 4x) + 3 -6 + -1x = (-1 * 2 + 4x * 2) + 3 -6 + -1x = (-2 + 8x) + 3 Reorder the terms: -6 + -1x = -2 + 3 + 8x Combine like terms: -2 + 3 = 1 -6 + -1x = 1 + 8x Solving -6 + -1x = 1 + 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. -6 + -1x + -8x = 1 + 8x + -8x Combine like terms: -1x + -8x = -9x -6 + -9x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -9x = 1 + 0 -6 + -9x = 1 Add '6' to each side of the equation. -6 + 6 + -9x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 1 + 6 -9x = 1 + 6 Combine like terms: 1 + 6 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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