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Simplifying 2 + 5(2x + -3) = 5(10x + 3) + -2x Reorder the terms: 2 + 5(-3 + 2x) = 5(10x + 3) + -2x 2 + (-3 * 5 + 2x * 5) = 5(10x + 3) + -2x 2 + (-15 + 10x) = 5(10x + 3) + -2x Combine like terms: 2 + -15 = -13 -13 + 10x = 5(10x + 3) + -2x Reorder the terms: -13 + 10x = 5(3 + 10x) + -2x -13 + 10x = (3 * 5 + 10x * 5) + -2x -13 + 10x = (15 + 50x) + -2x Combine like terms: 50x + -2x = 48x -13 + 10x = 15 + 48x Solving -13 + 10x = 15 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -13 + 10x + -48x = 15 + 48x + -48x Combine like terms: 10x + -48x = -38x -13 + -38x = 15 + 48x + -48x Combine like terms: 48x + -48x = 0 -13 + -38x = 15 + 0 -13 + -38x = 15 Add '13' to each side of the equation. -13 + 13 + -38x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -38x = 15 + 13 -38x = 15 + 13 Combine like terms: 15 + 13 = 28 -38x = 28 Divide each side by '-38'. x = -0.7368421053 Simplifying x = -0.7368421053
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