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Simplifying 5(3x + 11) = 10 + -1(x + 3) Reorder the terms: 5(11 + 3x) = 10 + -1(x + 3) (11 * 5 + 3x * 5) = 10 + -1(x + 3) (55 + 15x) = 10 + -1(x + 3) Reorder the terms: 55 + 15x = 10 + -1(3 + x) 55 + 15x = 10 + (3 * -1 + x * -1) 55 + 15x = 10 + (-3 + -1x) Combine like terms: 10 + -3 = 7 55 + 15x = 7 + -1x Solving 55 + 15x = 7 + -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. 55 + 15x + x = 7 + -1x + x Combine like terms: 15x + x = 16x 55 + 16x = 7 + -1x + x Combine like terms: -1x + x = 0 55 + 16x = 7 + 0 55 + 16x = 7 Add '-55' to each side of the equation. 55 + -55 + 16x = 7 + -55 Combine like terms: 55 + -55 = 0 0 + 16x = 7 + -55 16x = 7 + -55 Combine like terms: 7 + -55 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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