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Simplifying 6[x + -2(2x + 3)] = 8 + -5x Reorder the terms: 6[x + -2(3 + 2x)] = 8 + -5x 6[x + (3 * -2 + 2x * -2)] = 8 + -5x 6[x + (-6 + -4x)] = 8 + -5x Reorder the terms: 6[-6 + x + -4x] = 8 + -5x Combine like terms: x + -4x = -3x 6[-6 + -3x] = 8 + -5x [-6 * 6 + -3x * 6] = 8 + -5x [-36 + -18x] = 8 + -5x Solving -36 + -18x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -36 + -18x + 5x = 8 + -5x + 5x Combine like terms: -18x + 5x = -13x -36 + -13x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + -13x = 8 + 0 -36 + -13x = 8 Add '36' to each side of the equation. -36 + 36 + -13x = 8 + 36 Combine like terms: -36 + 36 = 0 0 + -13x = 8 + 36 -13x = 8 + 36 Combine like terms: 8 + 36 = 44 -13x = 44 Divide each side by '-13'. x = -3.384615385 Simplifying x = -3.384615385
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