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Simplifying 4(x + -6) + 14(x + 10) = 0 Reorder the terms: 4(-6 + x) + 14(x + 10) = 0 (-6 * 4 + x * 4) + 14(x + 10) = 0 (-24 + 4x) + 14(x + 10) = 0 Reorder the terms: -24 + 4x + 14(10 + x) = 0 -24 + 4x + (10 * 14 + x * 14) = 0 -24 + 4x + (140 + 14x) = 0 Reorder the terms: -24 + 140 + 4x + 14x = 0 Combine like terms: -24 + 140 = 116 116 + 4x + 14x = 0 Combine like terms: 4x + 14x = 18x 116 + 18x = 0 Solving 116 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-116' to each side of the equation. 116 + -116 + 18x = 0 + -116 Combine like terms: 116 + -116 = 0 0 + 18x = 0 + -116 18x = 0 + -116 Combine like terms: 0 + -116 = -116 18x = -116 Divide each side by '18'. x = -6.444444444 Simplifying x = -6.444444444
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