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Simplifying 4x + -10(x + 1) + -2(x + -2) = 0 Reorder the terms: 4x + -10(1 + x) + -2(x + -2) = 0 4x + (1 * -10 + x * -10) + -2(x + -2) = 0 4x + (-10 + -10x) + -2(x + -2) = 0 Reorder the terms: 4x + -10 + -10x + -2(-2 + x) = 0 4x + -10 + -10x + (-2 * -2 + x * -2) = 0 4x + -10 + -10x + (4 + -2x) = 0 Reorder the terms: -10 + 4 + 4x + -10x + -2x = 0 Combine like terms: -10 + 4 = -6 -6 + 4x + -10x + -2x = 0 Combine like terms: 4x + -10x = -6x -6 + -6x + -2x = 0 Combine like terms: -6x + -2x = -8x -6 + -8x = 0 Solving -6 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -8x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 0 + 6 -8x = 0 + 6 Combine like terms: 0 + 6 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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