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Simplifying 5[5x + 3 + -6(x + 1)] = 6x + 4 Reorder the terms: 5[5x + 3 + -6(1 + x)] = 6x + 4 5[5x + 3 + (1 * -6 + x * -6)] = 6x + 4 5[5x + 3 + (-6 + -6x)] = 6x + 4 Reorder the terms: 5[3 + -6 + 5x + -6x] = 6x + 4 Combine like terms: 3 + -6 = -3 5[-3 + 5x + -6x] = 6x + 4 Combine like terms: 5x + -6x = -1x 5[-3 + -1x] = 6x + 4 [-3 * 5 + -1x * 5] = 6x + 4 [-15 + -5x] = 6x + 4 Reorder the terms: -15 + -5x = 4 + 6x Solving -15 + -5x = 4 + 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. -15 + -5x + -6x = 4 + 6x + -6x Combine like terms: -5x + -6x = -11x -15 + -11x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -11x = 4 + 0 -15 + -11x = 4 Add '15' to each side of the equation. -15 + 15 + -11x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + -11x = 4 + 15 -11x = 4 + 15 Combine like terms: 4 + 15 = 19 -11x = 19 Divide each side by '-11'. x = -1.727272727 Simplifying x = -1.727272727
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