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Simplifying 50(x + -3) + 21 = 5(x + 5) + -1(3x + 10) Reorder the terms: 50(-3 + x) + 21 = 5(x + 5) + -1(3x + 10) (-3 * 50 + x * 50) + 21 = 5(x + 5) + -1(3x + 10) (-150 + 50x) + 21 = 5(x + 5) + -1(3x + 10) Reorder the terms: -150 + 21 + 50x = 5(x + 5) + -1(3x + 10) Combine like terms: -150 + 21 = -129 -129 + 50x = 5(x + 5) + -1(3x + 10) Reorder the terms: -129 + 50x = 5(5 + x) + -1(3x + 10) -129 + 50x = (5 * 5 + x * 5) + -1(3x + 10) -129 + 50x = (25 + 5x) + -1(3x + 10) Reorder the terms: -129 + 50x = 25 + 5x + -1(10 + 3x) -129 + 50x = 25 + 5x + (10 * -1 + 3x * -1) -129 + 50x = 25 + 5x + (-10 + -3x) Reorder the terms: -129 + 50x = 25 + -10 + 5x + -3x Combine like terms: 25 + -10 = 15 -129 + 50x = 15 + 5x + -3x Combine like terms: 5x + -3x = 2x -129 + 50x = 15 + 2x Solving -129 + 50x = 15 + 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. -129 + 50x + -2x = 15 + 2x + -2x Combine like terms: 50x + -2x = 48x -129 + 48x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -129 + 48x = 15 + 0 -129 + 48x = 15 Add '129' to each side of the equation. -129 + 129 + 48x = 15 + 129 Combine like terms: -129 + 129 = 0 0 + 48x = 15 + 129 48x = 15 + 129 Combine like terms: 15 + 129 = 144 48x = 144 Divide each side by '48'. x = 3 Simplifying x = 3
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