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Simplifying -12x + 2(x + -3) + 9x = 6x + -62 Reorder the terms: -12x + 2(-3 + x) + 9x = 6x + -62 -12x + (-3 * 2 + x * 2) + 9x = 6x + -62 -12x + (-6 + 2x) + 9x = 6x + -62 Reorder the terms: -6 + -12x + 2x + 9x = 6x + -62 Combine like terms: -12x + 2x = -10x -6 + -10x + 9x = 6x + -62 Combine like terms: -10x + 9x = -1x -6 + -1x = 6x + -62 Reorder the terms: -6 + -1x = -62 + 6x Solving -6 + -1x = -62 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -1x + -6x = -62 + 6x + -6x Combine like terms: -1x + -6x = -7x -6 + -7x = -62 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -7x = -62 + 0 -6 + -7x = -62 Add '6' to each side of the equation. -6 + 6 + -7x = -62 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -62 + 6 -7x = -62 + 6 Combine like terms: -62 + 6 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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