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Simplifying 2(x + 3) + -5(-1x + 5) = 10(3x + 4) Reorder the terms: 2(3 + x) + -5(-1x + 5) = 10(3x + 4) (3 * 2 + x * 2) + -5(-1x + 5) = 10(3x + 4) (6 + 2x) + -5(-1x + 5) = 10(3x + 4) Reorder the terms: 6 + 2x + -5(5 + -1x) = 10(3x + 4) 6 + 2x + (5 * -5 + -1x * -5) = 10(3x + 4) 6 + 2x + (-25 + 5x) = 10(3x + 4) Reorder the terms: 6 + -25 + 2x + 5x = 10(3x + 4) Combine like terms: 6 + -25 = -19 -19 + 2x + 5x = 10(3x + 4) Combine like terms: 2x + 5x = 7x -19 + 7x = 10(3x + 4) Reorder the terms: -19 + 7x = 10(4 + 3x) -19 + 7x = (4 * 10 + 3x * 10) -19 + 7x = (40 + 30x) Solving -19 + 7x = 40 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -19 + 7x + -30x = 40 + 30x + -30x Combine like terms: 7x + -30x = -23x -19 + -23x = 40 + 30x + -30x Combine like terms: 30x + -30x = 0 -19 + -23x = 40 + 0 -19 + -23x = 40 Add '19' to each side of the equation. -19 + 19 + -23x = 40 + 19 Combine like terms: -19 + 19 = 0 0 + -23x = 40 + 19 -23x = 40 + 19 Combine like terms: 40 + 19 = 59 -23x = 59 Divide each side by '-23'. x = -2.565217391 Simplifying x = -2.565217391
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