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Simplifying 4(2x + -1) + -10(x + -2) = 2 Reorder the terms: 4(-1 + 2x) + -10(x + -2) = 2 (-1 * 4 + 2x * 4) + -10(x + -2) = 2 (-4 + 8x) + -10(x + -2) = 2 Reorder the terms: -4 + 8x + -10(-2 + x) = 2 -4 + 8x + (-2 * -10 + x * -10) = 2 -4 + 8x + (20 + -10x) = 2 Reorder the terms: -4 + 20 + 8x + -10x = 2 Combine like terms: -4 + 20 = 16 16 + 8x + -10x = 2 Combine like terms: 8x + -10x = -2x 16 + -2x = 2 Solving 16 + -2x = 2 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 + -2x = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 2 + -16 -2x = 2 + -16 Combine like terms: 2 + -16 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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