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Simplifying 6(3x + -9) + -2x = 6(2x + -6) Reorder the terms: 6(-9 + 3x) + -2x = 6(2x + -6) (-9 * 6 + 3x * 6) + -2x = 6(2x + -6) (-54 + 18x) + -2x = 6(2x + -6) Combine like terms: 18x + -2x = 16x -54 + 16x = 6(2x + -6) Reorder the terms: -54 + 16x = 6(-6 + 2x) -54 + 16x = (-6 * 6 + 2x * 6) -54 + 16x = (-36 + 12x) Solving -54 + 16x = -36 + 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. -54 + 16x + -12x = -36 + 12x + -12x Combine like terms: 16x + -12x = 4x -54 + 4x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 -54 + 4x = -36 + 0 -54 + 4x = -36 Add '54' to each side of the equation. -54 + 54 + 4x = -36 + 54 Combine like terms: -54 + 54 = 0 0 + 4x = -36 + 54 4x = -36 + 54 Combine like terms: -36 + 54 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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