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Simplifying 6(x + -7) + 18 = 2(x + -6) Reorder the terms: 6(-7 + x) + 18 = 2(x + -6) (-7 * 6 + x * 6) + 18 = 2(x + -6) (-42 + 6x) + 18 = 2(x + -6) Reorder the terms: -42 + 18 + 6x = 2(x + -6) Combine like terms: -42 + 18 = -24 -24 + 6x = 2(x + -6) Reorder the terms: -24 + 6x = 2(-6 + x) -24 + 6x = (-6 * 2 + x * 2) -24 + 6x = (-12 + 2x) Solving -24 + 6x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -24 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = -12 + 0 -24 + 4x = -12 Add '24' to each side of the equation. -24 + 24 + 4x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -12 + 24 4x = -12 + 24 Combine like terms: -12 + 24 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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