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Simplifying 19(2x + -1) + -5(x + 2) = 2(x + 3) Reorder the terms: 19(-1 + 2x) + -5(x + 2) = 2(x + 3) (-1 * 19 + 2x * 19) + -5(x + 2) = 2(x + 3) (-19 + 38x) + -5(x + 2) = 2(x + 3) Reorder the terms: -19 + 38x + -5(2 + x) = 2(x + 3) -19 + 38x + (2 * -5 + x * -5) = 2(x + 3) -19 + 38x + (-10 + -5x) = 2(x + 3) Reorder the terms: -19 + -10 + 38x + -5x = 2(x + 3) Combine like terms: -19 + -10 = -29 -29 + 38x + -5x = 2(x + 3) Combine like terms: 38x + -5x = 33x -29 + 33x = 2(x + 3) Reorder the terms: -29 + 33x = 2(3 + x) -29 + 33x = (3 * 2 + x * 2) -29 + 33x = (6 + 2x) Solving -29 + 33x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -29 + 33x + -2x = 6 + 2x + -2x Combine like terms: 33x + -2x = 31x -29 + 31x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 31x = 6 + 0 -29 + 31x = 6 Add '29' to each side of the equation. -29 + 29 + 31x = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 31x = 6 + 29 31x = 6 + 29 Combine like terms: 6 + 29 = 35 31x = 35 Divide each side by '31'. x = 1.129032258 Simplifying x = 1.129032258
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