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Simplifying 6(x + -2) + 9 = 6(2x + -2) Reorder the terms: 6(-2 + x) + 9 = 6(2x + -2) (-2 * 6 + x * 6) + 9 = 6(2x + -2) (-12 + 6x) + 9 = 6(2x + -2) Reorder the terms: -12 + 9 + 6x = 6(2x + -2) Combine like terms: -12 + 9 = -3 -3 + 6x = 6(2x + -2) Reorder the terms: -3 + 6x = 6(-2 + 2x) -3 + 6x = (-2 * 6 + 2x * 6) -3 + 6x = (-12 + 12x) Solving -3 + 6x = -12 + 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. -3 + 6x + -12x = -12 + 12x + -12x Combine like terms: 6x + -12x = -6x -3 + -6x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -6x = -12 + 0 -3 + -6x = -12 Add '3' to each side of the equation. -3 + 3 + -6x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -12 + 3 -6x = -12 + 3 Combine like terms: -12 + 3 = -9 -6x = -9 Divide each side by '-6'. x = 1.5 Simplifying x = 1.5
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