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Simplifying 5(2x + -3) = 6 + -1(x + 10) Reorder the terms: 5(-3 + 2x) = 6 + -1(x + 10) (-3 * 5 + 2x * 5) = 6 + -1(x + 10) (-15 + 10x) = 6 + -1(x + 10) Reorder the terms: -15 + 10x = 6 + -1(10 + x) -15 + 10x = 6 + (10 * -1 + x * -1) -15 + 10x = 6 + (-10 + -1x) Combine like terms: 6 + -10 = -4 -15 + 10x = -4 + -1x Solving -15 + 10x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 10x + x = -4 + -1x + x Combine like terms: 10x + x = 11x -15 + 11x = -4 + -1x + x Combine like terms: -1x + x = 0 -15 + 11x = -4 + 0 -15 + 11x = -4 Add '15' to each side of the equation. -15 + 15 + 11x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = -4 + 15 11x = -4 + 15 Combine like terms: -4 + 15 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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