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Simplifying 6(x + -7) + 14 = 2(x + -6) Reorder the terms: 6(-7 + x) + 14 = 2(x + -6) (-7 * 6 + x * 6) + 14 = 2(x + -6) (-42 + 6x) + 14 = 2(x + -6) Reorder the terms: -42 + 14 + 6x = 2(x + -6) Combine like terms: -42 + 14 = -28 -28 + 6x = 2(x + -6) Reorder the terms: -28 + 6x = 2(-6 + x) -28 + 6x = (-6 * 2 + x * 2) -28 + 6x = (-12 + 2x) Solving -28 + 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. -28 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -28 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 4x = -12 + 0 -28 + 4x = -12 Add '28' to each side of the equation. -28 + 28 + 4x = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = -12 + 28 4x = -12 + 28 Combine like terms: -12 + 28 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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