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Simplifying -2(4x + 1) + -5 = -2(x + 2) + 3x Reorder the terms: -2(1 + 4x) + -5 = -2(x + 2) + 3x (1 * -2 + 4x * -2) + -5 = -2(x + 2) + 3x (-2 + -8x) + -5 = -2(x + 2) + 3x Reorder the terms: -2 + -5 + -8x = -2(x + 2) + 3x Combine like terms: -2 + -5 = -7 -7 + -8x = -2(x + 2) + 3x Reorder the terms: -7 + -8x = -2(2 + x) + 3x -7 + -8x = (2 * -2 + x * -2) + 3x -7 + -8x = (-4 + -2x) + 3x Combine like terms: -2x + 3x = 1x -7 + -8x = -4 + 1x Solving -7 + -8x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + -8x + -1x = -4 + 1x + -1x Combine like terms: -8x + -1x = -9x -7 + -9x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -9x = -4 + 0 -7 + -9x = -4 Add '7' to each side of the equation. -7 + 7 + -9x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = -4 + 7 -9x = -4 + 7 Combine like terms: -4 + 7 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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