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Simplifying 11(x + -5) + -3 = 24x + -149 Reorder the terms: 11(-5 + x) + -3 = 24x + -149 (-5 * 11 + x * 11) + -3 = 24x + -149 (-55 + 11x) + -3 = 24x + -149 Reorder the terms: -55 + -3 + 11x = 24x + -149 Combine like terms: -55 + -3 = -58 -58 + 11x = 24x + -149 Reorder the terms: -58 + 11x = -149 + 24x Solving -58 + 11x = -149 + 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. -58 + 11x + -24x = -149 + 24x + -24x Combine like terms: 11x + -24x = -13x -58 + -13x = -149 + 24x + -24x Combine like terms: 24x + -24x = 0 -58 + -13x = -149 + 0 -58 + -13x = -149 Add '58' to each side of the equation. -58 + 58 + -13x = -149 + 58 Combine like terms: -58 + 58 = 0 0 + -13x = -149 + 58 -13x = -149 + 58 Combine like terms: -149 + 58 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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