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Simplifying 5 + -2x + 7(x + -3) = 20 + -2(x + 10) Reorder the terms: 5 + -2x + 7(-3 + x) = 20 + -2(x + 10) 5 + -2x + (-3 * 7 + x * 7) = 20 + -2(x + 10) 5 + -2x + (-21 + 7x) = 20 + -2(x + 10) Reorder the terms: 5 + -21 + -2x + 7x = 20 + -2(x + 10) Combine like terms: 5 + -21 = -16 -16 + -2x + 7x = 20 + -2(x + 10) Combine like terms: -2x + 7x = 5x -16 + 5x = 20 + -2(x + 10) Reorder the terms: -16 + 5x = 20 + -2(10 + x) -16 + 5x = 20 + (10 * -2 + x * -2) -16 + 5x = 20 + (-20 + -2x) Combine like terms: 20 + -20 = 0 -16 + 5x = 0 + -2x -16 + 5x = -2x Solving -16 + 5x = -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. -16 + 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x -16 + 7x = -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 7x = 0 Add '16' to each side of the equation. -16 + 16 + 7x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 0 + 16 7x = 0 + 16 Combine like terms: 0 + 16 = 16 7x = 16 Divide each side by '7'. x = 2.285714286 Simplifying x = 2.285714286
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