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Simplifying 6(2x + -3) + 11 = 5 + -3x Reorder the terms: 6(-3 + 2x) + 11 = 5 + -3x (-3 * 6 + 2x * 6) + 11 = 5 + -3x (-18 + 12x) + 11 = 5 + -3x Reorder the terms: -18 + 11 + 12x = 5 + -3x Combine like terms: -18 + 11 = -7 -7 + 12x = 5 + -3x Solving -7 + 12x = 5 + -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. -7 + 12x + 3x = 5 + -3x + 3x Combine like terms: 12x + 3x = 15x -7 + 15x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 15x = 5 + 0 -7 + 15x = 5 Add '7' to each side of the equation. -7 + 7 + 15x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 15x = 5 + 7 15x = 5 + 7 Combine like terms: 5 + 7 = 12 15x = 12 Divide each side by '15'. x = 0.8 Simplifying x = 0.8
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