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Simplifying 4(x + 10) = 6(x + -24) Reorder the terms: 4(10 + x) = 6(x + -24) (10 * 4 + x * 4) = 6(x + -24) (40 + 4x) = 6(x + -24) Reorder the terms: 40 + 4x = 6(-24 + x) 40 + 4x = (-24 * 6 + x * 6) 40 + 4x = (-144 + 6x) Solving 40 + 4x = -144 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + 4x + -6x = -144 + 6x + -6x Combine like terms: 4x + -6x = -2x 40 + -2x = -144 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -2x = -144 + 0 40 + -2x = -144 Add '-40' to each side of the equation. 40 + -40 + -2x = -144 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = -144 + -40 -2x = -144 + -40 Combine like terms: -144 + -40 = -184 -2x = -184 Divide each side by '-2'. x = 92 Simplifying x = 92
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