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Simplifying 4(x + 6) + -6x = 4(x + 10) Reorder the terms: 4(6 + x) + -6x = 4(x + 10) (6 * 4 + x * 4) + -6x = 4(x + 10) (24 + 4x) + -6x = 4(x + 10) Combine like terms: 4x + -6x = -2x 24 + -2x = 4(x + 10) Reorder the terms: 24 + -2x = 4(10 + x) 24 + -2x = (10 * 4 + x * 4) 24 + -2x = (40 + 4x) Solving 24 + -2x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + -2x + -4x = 40 + 4x + -4x Combine like terms: -2x + -4x = -6x 24 + -6x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -6x = 40 + 0 24 + -6x = 40 Add '-24' to each side of the equation. 24 + -24 + -6x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 40 + -24 -6x = 40 + -24 Combine like terms: 40 + -24 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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