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Simplifying 5[1 + -1(6x + -5)] = 8(6 + -3x) Reorder the terms: 5[1 + -1(-5 + 6x)] = 8(6 + -3x) 5[1 + (-5 * -1 + 6x * -1)] = 8(6 + -3x) 5[1 + (5 + -6x)] = 8(6 + -3x) Combine like terms: 1 + 5 = 6 5[6 + -6x] = 8(6 + -3x) [6 * 5 + -6x * 5] = 8(6 + -3x) [30 + -30x] = 8(6 + -3x) 30 + -30x = (6 * 8 + -3x * 8) 30 + -30x = (48 + -24x) Solving 30 + -30x = 48 + -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. 30 + -30x + 24x = 48 + -24x + 24x Combine like terms: -30x + 24x = -6x 30 + -6x = 48 + -24x + 24x Combine like terms: -24x + 24x = 0 30 + -6x = 48 + 0 30 + -6x = 48 Add '-30' to each side of the equation. 30 + -30 + -6x = 48 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 48 + -30 -6x = 48 + -30 Combine like terms: 48 + -30 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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