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Simplifying 2(x + -1) + -4(2x + 3) = -3(5 + -1x) Reorder the terms: 2(-1 + x) + -4(2x + 3) = -3(5 + -1x) (-1 * 2 + x * 2) + -4(2x + 3) = -3(5 + -1x) (-2 + 2x) + -4(2x + 3) = -3(5 + -1x) Reorder the terms: -2 + 2x + -4(3 + 2x) = -3(5 + -1x) -2 + 2x + (3 * -4 + 2x * -4) = -3(5 + -1x) -2 + 2x + (-12 + -8x) = -3(5 + -1x) Reorder the terms: -2 + -12 + 2x + -8x = -3(5 + -1x) Combine like terms: -2 + -12 = -14 -14 + 2x + -8x = -3(5 + -1x) Combine like terms: 2x + -8x = -6x -14 + -6x = -3(5 + -1x) -14 + -6x = (5 * -3 + -1x * -3) -14 + -6x = (-15 + 3x) Solving -14 + -6x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + -6x + -3x = -15 + 3x + -3x Combine like terms: -6x + -3x = -9x -14 + -9x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -9x = -15 + 0 -14 + -9x = -15 Add '14' to each side of the equation. -14 + 14 + -9x = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = -15 + 14 -9x = -15 + 14 Combine like terms: -15 + 14 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111
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