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Simplifying 3(x + -6) + -4(x + -10) = 0 Reorder the terms: 3(-6 + x) + -4(x + -10) = 0 (-6 * 3 + x * 3) + -4(x + -10) = 0 (-18 + 3x) + -4(x + -10) = 0 Reorder the terms: -18 + 3x + -4(-10 + x) = 0 -18 + 3x + (-10 * -4 + x * -4) = 0 -18 + 3x + (40 + -4x) = 0 Reorder the terms: -18 + 40 + 3x + -4x = 0 Combine like terms: -18 + 40 = 22 22 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 22 + -1x = 0 Solving 22 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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