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Simplifying 10(x + 4) = 18(x + -4) Reorder the terms: 10(4 + x) = 18(x + -4) (4 * 10 + x * 10) = 18(x + -4) (40 + 10x) = 18(x + -4) Reorder the terms: 40 + 10x = 18(-4 + x) 40 + 10x = (-4 * 18 + x * 18) 40 + 10x = (-72 + 18x) Solving 40 + 10x = -72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 40 + 10x + -18x = -72 + 18x + -18x Combine like terms: 10x + -18x = -8x 40 + -8x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 40 + -8x = -72 + 0 40 + -8x = -72 Add '-40' to each side of the equation. 40 + -40 + -8x = -72 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -72 + -40 -8x = -72 + -40 Combine like terms: -72 + -40 = -112 -8x = -112 Divide each side by '-8'. x = 14 Simplifying x = 14
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