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Simplifying 6x + 5 + -2(-3x + -3) = 2(x + -2) Reorder the terms: 6x + 5 + -2(-3 + -3x) = 2(x + -2) 6x + 5 + (-3 * -2 + -3x * -2) = 2(x + -2) 6x + 5 + (6 + 6x) = 2(x + -2) Reorder the terms: 5 + 6 + 6x + 6x = 2(x + -2) Combine like terms: 5 + 6 = 11 11 + 6x + 6x = 2(x + -2) Combine like terms: 6x + 6x = 12x 11 + 12x = 2(x + -2) Reorder the terms: 11 + 12x = 2(-2 + x) 11 + 12x = (-2 * 2 + x * 2) 11 + 12x = (-4 + 2x) Solving 11 + 12x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 11 + 12x + -2x = -4 + 2x + -2x Combine like terms: 12x + -2x = 10x 11 + 10x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 10x = -4 + 0 11 + 10x = -4 Add '-11' to each side of the equation. 11 + -11 + 10x = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = -4 + -11 10x = -4 + -11 Combine like terms: -4 + -11 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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