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Simplifying 6[-3x + 3 + 5(x + 1)] = 7x + -5 Reorder the terms: 6[-3x + 3 + 5(1 + x)] = 7x + -5 6[-3x + 3 + (1 * 5 + x * 5)] = 7x + -5 6[-3x + 3 + (5 + 5x)] = 7x + -5 Reorder the terms: 6[3 + 5 + -3x + 5x] = 7x + -5 Combine like terms: 3 + 5 = 8 6[8 + -3x + 5x] = 7x + -5 Combine like terms: -3x + 5x = 2x 6[8 + 2x] = 7x + -5 [8 * 6 + 2x * 6] = 7x + -5 [48 + 12x] = 7x + -5 Reorder the terms: 48 + 12x = -5 + 7x Solving 48 + 12x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 48 + 12x + -7x = -5 + 7x + -7x Combine like terms: 12x + -7x = 5x 48 + 5x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 48 + 5x = -5 + 0 48 + 5x = -5 Add '-48' to each side of the equation. 48 + -48 + 5x = -5 + -48 Combine like terms: 48 + -48 = 0 0 + 5x = -5 + -48 5x = -5 + -48 Combine like terms: -5 + -48 = -53 5x = -53 Divide each side by '5'. x = -10.6 Simplifying x = -10.6
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