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Simplifying 5(x + -2) + -2(3x + 1) + -4(1 + -2x) + x = 0 Reorder the terms: 5(-2 + x) + -2(3x + 1) + -4(1 + -2x) + x = 0 (-2 * 5 + x * 5) + -2(3x + 1) + -4(1 + -2x) + x = 0 (-10 + 5x) + -2(3x + 1) + -4(1 + -2x) + x = 0 Reorder the terms: -10 + 5x + -2(1 + 3x) + -4(1 + -2x) + x = 0 -10 + 5x + (1 * -2 + 3x * -2) + -4(1 + -2x) + x = 0 -10 + 5x + (-2 + -6x) + -4(1 + -2x) + x = 0 -10 + 5x + -2 + -6x + (1 * -4 + -2x * -4) + x = 0 -10 + 5x + -2 + -6x + (-4 + 8x) + x = 0 Reorder the terms: -10 + -2 + -4 + 5x + -6x + 8x + x = 0 Combine like terms: -10 + -2 = -12 -12 + -4 + 5x + -6x + 8x + x = 0 Combine like terms: -12 + -4 = -16 -16 + 5x + -6x + 8x + x = 0 Combine like terms: 5x + -6x = -1x -16 + -1x + 8x + x = 0 Combine like terms: -1x + 8x = 7x -16 + 7x + x = 0 Combine like terms: 7x + x = 8x -16 + 8x = 0 Solving -16 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 0 + 16 8x = 0 + 16 Combine like terms: 0 + 16 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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