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Simplifying -12x + 2(x + -3) + 6x = 3x + -69 Reorder the terms: -12x + 2(-3 + x) + 6x = 3x + -69 -12x + (-3 * 2 + x * 2) + 6x = 3x + -69 -12x + (-6 + 2x) + 6x = 3x + -69 Reorder the terms: -6 + -12x + 2x + 6x = 3x + -69 Combine like terms: -12x + 2x = -10x -6 + -10x + 6x = 3x + -69 Combine like terms: -10x + 6x = -4x -6 + -4x = 3x + -69 Reorder the terms: -6 + -4x = -69 + 3x Solving -6 + -4x = -69 + 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. -6 + -4x + -3x = -69 + 3x + -3x Combine like terms: -4x + -3x = -7x -6 + -7x = -69 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -7x = -69 + 0 -6 + -7x = -69 Add '6' to each side of the equation. -6 + 6 + -7x = -69 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -69 + 6 -7x = -69 + 6 Combine like terms: -69 + 6 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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