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Simplifying 6[-5x + -6 + 2(2x + 1)] = -3x + 4 Reorder the terms: 6[-5x + -6 + 2(1 + 2x)] = -3x + 4 6[-5x + -6 + (1 * 2 + 2x * 2)] = -3x + 4 6[-5x + -6 + (2 + 4x)] = -3x + 4 Reorder the terms: 6[-6 + 2 + -5x + 4x] = -3x + 4 Combine like terms: -6 + 2 = -4 6[-4 + -5x + 4x] = -3x + 4 Combine like terms: -5x + 4x = -1x 6[-4 + -1x] = -3x + 4 [-4 * 6 + -1x * 6] = -3x + 4 [-24 + -6x] = -3x + 4 Reorder the terms: -24 + -6x = 4 + -3x Solving -24 + -6x = 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 + -6x + 3x = 4 + -3x + 3x Combine like terms: -6x + 3x = -3x -24 + -3x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -3x = 4 + 0 -24 + -3x = 4 Add '24' to each side of the equation. -24 + 24 + -3x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 4 + 24 -3x = 4 + 24 Combine like terms: 4 + 24 = 28 -3x = 28 Divide each side by '-3'. x = -9.333333333 Simplifying x = -9.333333333
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