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