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Simplifying 6(x + -7) + 18 = 4(x + -5) Reorder the terms: 6(-7 + x) + 18 = 4(x + -5) (-7 * 6 + x * 6) + 18 = 4(x + -5) (-42 + 6x) + 18 = 4(x + -5) Reorder the terms: -42 + 18 + 6x = 4(x + -5) Combine like terms: -42 + 18 = -24 -24 + 6x = 4(x + -5) Reorder the terms: -24 + 6x = 4(-5 + x) -24 + 6x = (-5 * 4 + x * 4) -24 + 6x = (-20 + 4x) Solving -24 + 6x = -20 + 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. -24 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x -24 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 2x = -20 + 0 -24 + 2x = -20 Add '24' to each side of the equation. -24 + 24 + 2x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -20 + 24 2x = -20 + 24 Combine like terms: -20 + 24 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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