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Simplifying 2x + 23 + -5x + -1[6(x + -4) + -5] = 5(x + -2) Reorder the terms: 2x + 23 + -5x + -1[6(-4 + x) + -5] = 5(x + -2) 2x + 23 + -5x + -1[(-4 * 6 + x * 6) + -5] = 5(x + -2) 2x + 23 + -5x + -1[(-24 + 6x) + -5] = 5(x + -2) Reorder the terms: 2x + 23 + -5x + -1[-24 + -5 + 6x] = 5(x + -2) Combine like terms: -24 + -5 = -29 2x + 23 + -5x + -1[-29 + 6x] = 5(x + -2) 2x + 23 + -5x + [-29 * -1 + 6x * -1] = 5(x + -2) 2x + 23 + -5x + [29 + -6x] = 5(x + -2) Reorder the terms: 23 + 29 + 2x + -5x + -6x = 5(x + -2) Combine like terms: 23 + 29 = 52 52 + 2x + -5x + -6x = 5(x + -2) Combine like terms: 2x + -5x = -3x 52 + -3x + -6x = 5(x + -2) Combine like terms: -3x + -6x = -9x 52 + -9x = 5(x + -2) Reorder the terms: 52 + -9x = 5(-2 + x) 52 + -9x = (-2 * 5 + x * 5) 52 + -9x = (-10 + 5x) Solving 52 + -9x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 52 + -9x + -5x = -10 + 5x + -5x Combine like terms: -9x + -5x = -14x 52 + -14x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 52 + -14x = -10 + 0 52 + -14x = -10 Add '-52' to each side of the equation. 52 + -52 + -14x = -10 + -52 Combine like terms: 52 + -52 = 0 0 + -14x = -10 + -52 -14x = -10 + -52 Combine like terms: -10 + -52 = -62 -14x = -62 Divide each side by '-14'. x = 4.428571429 Simplifying x = 4.428571429
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