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Simplifying 2(x + -7) + 12 = 6(x + -3) Reorder the terms: 2(-7 + x) + 12 = 6(x + -3) (-7 * 2 + x * 2) + 12 = 6(x + -3) (-14 + 2x) + 12 = 6(x + -3) Reorder the terms: -14 + 12 + 2x = 6(x + -3) Combine like terms: -14 + 12 = -2 -2 + 2x = 6(x + -3) Reorder the terms: -2 + 2x = 6(-3 + x) -2 + 2x = (-3 * 6 + x * 6) -2 + 2x = (-18 + 6x) Solving -2 + 2x = -18 + 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. -2 + 2x + -6x = -18 + 6x + -6x Combine like terms: 2x + -6x = -4x -2 + -4x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -4x = -18 + 0 -2 + -4x = -18 Add '2' to each side of the equation. -2 + 2 + -4x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = -18 + 2 -4x = -18 + 2 Combine like terms: -18 + 2 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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