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Simplifying 6[-5x + -6 + 2(x + 1)] = -3x + 4 Reorder the terms: 6[-5x + -6 + 2(1 + x)] = -3x + 4 6[-5x + -6 + (1 * 2 + x * 2)] = -3x + 4 6[-5x + -6 + (2 + 2x)] = -3x + 4 Reorder the terms: 6[-6 + 2 + -5x + 2x] = -3x + 4 Combine like terms: -6 + 2 = -4 6[-4 + -5x + 2x] = -3x + 4 Combine like terms: -5x + 2x = -3x 6[-4 + -3x] = -3x + 4 [-4 * 6 + -3x * 6] = -3x + 4 [-24 + -18x] = -3x + 4 Reorder the terms: -24 + -18x = 4 + -3x Solving -24 + -18x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -18x + 3x = 4 + -3x + 3x Combine like terms: -18x + 3x = -15x -24 + -15x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -15x = 4 + 0 -24 + -15x = 4 Add '24' to each side of the equation. -24 + 24 + -15x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -15x = 4 + 24 -15x = 4 + 24 Combine like terms: 4 + 24 = 28 -15x = 28 Divide each side by '-15'. x = -1.866666667 Simplifying x = -1.866666667
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