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Simplifying 3(2x + -1) + -4 = 11x + -2(5x + -9) Reorder the terms: 3(-1 + 2x) + -4 = 11x + -2(5x + -9) (-1 * 3 + 2x * 3) + -4 = 11x + -2(5x + -9) (-3 + 6x) + -4 = 11x + -2(5x + -9) Reorder the terms: -3 + -4 + 6x = 11x + -2(5x + -9) Combine like terms: -3 + -4 = -7 -7 + 6x = 11x + -2(5x + -9) Reorder the terms: -7 + 6x = 11x + -2(-9 + 5x) -7 + 6x = 11x + (-9 * -2 + 5x * -2) -7 + 6x = 11x + (18 + -10x) Reorder the terms: -7 + 6x = 18 + 11x + -10x Combine like terms: 11x + -10x = 1x -7 + 6x = 18 + 1x Solving -7 + 6x = 18 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 6x + -1x = 18 + 1x + -1x Combine like terms: 6x + -1x = 5x -7 + 5x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 5x = 18 + 0 -7 + 5x = 18 Add '7' to each side of the equation. -7 + 7 + 5x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 18 + 7 5x = 18 + 7 Combine like terms: 18 + 7 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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