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Simplifying 6[-3x + 6 + 6(x + 1)] = -7x + -4 Reorder the terms: 6[-3x + 6 + 6(1 + x)] = -7x + -4 6[-3x + 6 + (1 * 6 + x * 6)] = -7x + -4 6[-3x + 6 + (6 + 6x)] = -7x + -4 Reorder the terms: 6[6 + 6 + -3x + 6x] = -7x + -4 Combine like terms: 6 + 6 = 12 6[12 + -3x + 6x] = -7x + -4 Combine like terms: -3x + 6x = 3x 6[12 + 3x] = -7x + -4 [12 * 6 + 3x * 6] = -7x + -4 [72 + 18x] = -7x + -4 Reorder the terms: 72 + 18x = -4 + -7x Solving 72 + 18x = -4 + -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. 72 + 18x + 7x = -4 + -7x + 7x Combine like terms: 18x + 7x = 25x 72 + 25x = -4 + -7x + 7x Combine like terms: -7x + 7x = 0 72 + 25x = -4 + 0 72 + 25x = -4 Add '-72' to each side of the equation. 72 + -72 + 25x = -4 + -72 Combine like terms: 72 + -72 = 0 0 + 25x = -4 + -72 25x = -4 + -72 Combine like terms: -4 + -72 = -76 25x = -76 Divide each side by '25'. x = -3.04 Simplifying x = -3.04
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