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Simplifying 2x + -1(3x + 4) = 2(4x + -5) + -3 Reorder the terms: 2x + -1(4 + 3x) = 2(4x + -5) + -3 2x + (4 * -1 + 3x * -1) = 2(4x + -5) + -3 2x + (-4 + -3x) = 2(4x + -5) + -3 Reorder the terms: -4 + 2x + -3x = 2(4x + -5) + -3 Combine like terms: 2x + -3x = -1x -4 + -1x = 2(4x + -5) + -3 Reorder the terms: -4 + -1x = 2(-5 + 4x) + -3 -4 + -1x = (-5 * 2 + 4x * 2) + -3 -4 + -1x = (-10 + 8x) + -3 Reorder the terms: -4 + -1x = -10 + -3 + 8x Combine like terms: -10 + -3 = -13 -4 + -1x = -13 + 8x Solving -4 + -1x = -13 + 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. -4 + -1x + -8x = -13 + 8x + -8x Combine like terms: -1x + -8x = -9x -4 + -9x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -9x = -13 + 0 -4 + -9x = -13 Add '4' to each side of the equation. -4 + 4 + -9x = -13 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = -13 + 4 -9x = -13 + 4 Combine like terms: -13 + 4 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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