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Simplifying 6(x + -7) + 14 = 4(x + -6) Reorder the terms: 6(-7 + x) + 14 = 4(x + -6) (-7 * 6 + x * 6) + 14 = 4(x + -6) (-42 + 6x) + 14 = 4(x + -6) Reorder the terms: -42 + 14 + 6x = 4(x + -6) Combine like terms: -42 + 14 = -28 -28 + 6x = 4(x + -6) Reorder the terms: -28 + 6x = 4(-6 + x) -28 + 6x = (-6 * 4 + x * 4) -28 + 6x = (-24 + 4x) Solving -28 + 6x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -28 + 6x + -4x = -24 + 4x + -4x Combine like terms: 6x + -4x = 2x -28 + 2x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 2x = -24 + 0 -28 + 2x = -24 Add '28' to each side of the equation. -28 + 28 + 2x = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -24 + 28 2x = -24 + 28 Combine like terms: -24 + 28 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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