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Simplifying 4(x + -6) + 15(x + 6) = 0 Reorder the terms: 4(-6 + x) + 15(x + 6) = 0 (-6 * 4 + x * 4) + 15(x + 6) = 0 (-24 + 4x) + 15(x + 6) = 0 Reorder the terms: -24 + 4x + 15(6 + x) = 0 -24 + 4x + (6 * 15 + x * 15) = 0 -24 + 4x + (90 + 15x) = 0 Reorder the terms: -24 + 90 + 4x + 15x = 0 Combine like terms: -24 + 90 = 66 66 + 4x + 15x = 0 Combine like terms: 4x + 15x = 19x 66 + 19x = 0 Solving 66 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 19x = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 19x = 0 + -66 19x = 0 + -66 Combine like terms: 0 + -66 = -66 19x = -66 Divide each side by '19'. x = -3.473684211 Simplifying x = -3.473684211
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