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Simplifying 2(x + -3) = 6x + 5 + -2(-3x + -2) Reorder the terms: 2(-3 + x) = 6x + 5 + -2(-3x + -2) (-3 * 2 + x * 2) = 6x + 5 + -2(-3x + -2) (-6 + 2x) = 6x + 5 + -2(-3x + -2) Reorder the terms: -6 + 2x = 6x + 5 + -2(-2 + -3x) -6 + 2x = 6x + 5 + (-2 * -2 + -3x * -2) -6 + 2x = 6x + 5 + (4 + 6x) Reorder the terms: -6 + 2x = 5 + 4 + 6x + 6x Combine like terms: 5 + 4 = 9 -6 + 2x = 9 + 6x + 6x Combine like terms: 6x + 6x = 12x -6 + 2x = 9 + 12x Solving -6 + 2x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 2x + -12x = 9 + 12x + -12x Combine like terms: 2x + -12x = -10x -6 + -10x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -10x = 9 + 0 -6 + -10x = 9 Add '6' to each side of the equation. -6 + 6 + -10x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 9 + 6 -10x = 9 + 6 Combine like terms: 9 + 6 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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