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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 = 9 5[9 + -5x + 6x] = 6x + 4 Combine like terms: -5x + 6x = 1x 5[9 + 1x] = 6x + 4 [9 * 5 + 1x * 5] = 6x + 4 [45 + 5x] = 6x + 4 Reorder the terms: 45 + 5x = 4 + 6x Solving 45 + 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. 45 + 5x + -6x = 4 + 6x + -6x Combine like terms: 5x + -6x = -1x 45 + -1x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -1x = 4 + 0 45 + -1x = 4 Add '-45' to each side of the equation. 45 + -45 + -1x = 4 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 4 + -45 -1x = 4 + -45 Combine like terms: 4 + -45 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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