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Simplifying 5(x + 10) + -1(-3 + 5) = -1x + -5 + 14 Reorder the terms: 5(10 + x) + -1(-3 + 5) = -1x + -5 + 14 (10 * 5 + x * 5) + -1(-3 + 5) = -1x + -5 + 14 (50 + 5x) + -1(-3 + 5) = -1x + -5 + 14 Combine like terms: -3 + 5 = 2 50 + 5x + -1(2) = -1x + -5 + 14 Multiply -1 * 2 50 + 5x + -2 = -1x + -5 + 14 Reorder the terms: 50 + -2 + 5x = -1x + -5 + 14 Combine like terms: 50 + -2 = 48 48 + 5x = -1x + -5 + 14 Reorder the terms: 48 + 5x = -5 + 14 + -1x Combine like terms: -5 + 14 = 9 48 + 5x = 9 + -1x Solving 48 + 5x = 9 + -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. 48 + 5x + x = 9 + -1x + x Combine like terms: 5x + x = 6x 48 + 6x = 9 + -1x + x Combine like terms: -1x + x = 0 48 + 6x = 9 + 0 48 + 6x = 9 Add '-48' to each side of the equation. 48 + -48 + 6x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 9 + -48 6x = 9 + -48 Combine like terms: 9 + -48 = -39 6x = -39 Divide each side by '6'. x = -6.5 Simplifying x = -6.5
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