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Simplifying 19x + -8(x + -3) = 66 + -3x Reorder the terms: 19x + -8(-3 + x) = 66 + -3x 19x + (-3 * -8 + x * -8) = 66 + -3x 19x + (24 + -8x) = 66 + -3x Reorder the terms: 24 + 19x + -8x = 66 + -3x Combine like terms: 19x + -8x = 11x 24 + 11x = 66 + -3x Solving 24 + 11x = 66 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 11x + 3x = 66 + -3x + 3x Combine like terms: 11x + 3x = 14x 24 + 14x = 66 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 14x = 66 + 0 24 + 14x = 66 Add '-24' to each side of the equation. 24 + -24 + 14x = 66 + -24 Combine like terms: 24 + -24 = 0 0 + 14x = 66 + -24 14x = 66 + -24 Combine like terms: 66 + -24 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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