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Simplifying 19 + -2(x + 2) = 22(x + 3) + -24 Reorder the terms: 19 + -2(2 + x) = 22(x + 3) + -24 19 + (2 * -2 + x * -2) = 22(x + 3) + -24 19 + (-4 + -2x) = 22(x + 3) + -24 Combine like terms: 19 + -4 = 15 15 + -2x = 22(x + 3) + -24 Reorder the terms: 15 + -2x = 22(3 + x) + -24 15 + -2x = (3 * 22 + x * 22) + -24 15 + -2x = (66 + 22x) + -24 Reorder the terms: 15 + -2x = 66 + -24 + 22x Combine like terms: 66 + -24 = 42 15 + -2x = 42 + 22x Solving 15 + -2x = 42 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 15 + -2x + -22x = 42 + 22x + -22x Combine like terms: -2x + -22x = -24x 15 + -24x = 42 + 22x + -22x Combine like terms: 22x + -22x = 0 15 + -24x = 42 + 0 15 + -24x = 42 Add '-15' to each side of the equation. 15 + -15 + -24x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -24x = 42 + -15 -24x = 42 + -15 Combine like terms: 42 + -15 = 27 -24x = 27 Divide each side by '-24'. x = -1.125 Simplifying x = -1.125
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