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Simplifying 11(x + -12) + -12 = 24x + -287 Reorder the terms: 11(-12 + x) + -12 = 24x + -287 (-12 * 11 + x * 11) + -12 = 24x + -287 (-132 + 11x) + -12 = 24x + -287 Reorder the terms: -132 + -12 + 11x = 24x + -287 Combine like terms: -132 + -12 = -144 -144 + 11x = 24x + -287 Reorder the terms: -144 + 11x = -287 + 24x Solving -144 + 11x = -287 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -144 + 11x + -24x = -287 + 24x + -24x Combine like terms: 11x + -24x = -13x -144 + -13x = -287 + 24x + -24x Combine like terms: 24x + -24x = 0 -144 + -13x = -287 + 0 -144 + -13x = -287 Add '144' to each side of the equation. -144 + 144 + -13x = -287 + 144 Combine like terms: -144 + 144 = 0 0 + -13x = -287 + 144 -13x = -287 + 144 Combine like terms: -287 + 144 = -143 -13x = -143 Divide each side by '-13'. x = 11 Simplifying x = 11
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