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Simplifying 19(x + 1) = 36 + -21(x + -3) Reorder the terms: 19(1 + x) = 36 + -21(x + -3) (1 * 19 + x * 19) = 36 + -21(x + -3) (19 + 19x) = 36 + -21(x + -3) Reorder the terms: 19 + 19x = 36 + -21(-3 + x) 19 + 19x = 36 + (-3 * -21 + x * -21) 19 + 19x = 36 + (63 + -21x) Combine like terms: 36 + 63 = 99 19 + 19x = 99 + -21x Solving 19 + 19x = 99 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 19 + 19x + 21x = 99 + -21x + 21x Combine like terms: 19x + 21x = 40x 19 + 40x = 99 + -21x + 21x Combine like terms: -21x + 21x = 0 19 + 40x = 99 + 0 19 + 40x = 99 Add '-19' to each side of the equation. 19 + -19 + 40x = 99 + -19 Combine like terms: 19 + -19 = 0 0 + 40x = 99 + -19 40x = 99 + -19 Combine like terms: 99 + -19 = 80 40x = 80 Divide each side by '40'. x = 2 Simplifying x = 2
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