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Simplifying 2(x + -3) + -1(2x + 2) = 5(3x + 5) Reorder the terms: 2(-3 + x) + -1(2x + 2) = 5(3x + 5) (-3 * 2 + x * 2) + -1(2x + 2) = 5(3x + 5) (-6 + 2x) + -1(2x + 2) = 5(3x + 5) Reorder the terms: -6 + 2x + -1(2 + 2x) = 5(3x + 5) -6 + 2x + (2 * -1 + 2x * -1) = 5(3x + 5) -6 + 2x + (-2 + -2x) = 5(3x + 5) Reorder the terms: -6 + -2 + 2x + -2x = 5(3x + 5) Combine like terms: -6 + -2 = -8 -8 + 2x + -2x = 5(3x + 5) Combine like terms: 2x + -2x = 0 -8 + 0 = 5(3x + 5) -8 = 5(3x + 5) Reorder the terms: -8 = 5(5 + 3x) -8 = (5 * 5 + 3x * 5) -8 = (25 + 15x) Solving -8 = 25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + -15x = 25 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -15x = 25 + 0 -8 + -15x = 25 Add '8' to each side of the equation. -8 + 8 + -15x = 25 + 8 Combine like terms: -8 + 8 = 0 0 + -15x = 25 + 8 -15x = 25 + 8 Combine like terms: 25 + 8 = 33 -15x = 33 Divide each side by '-15'. x = -2.2 Simplifying x = -2.2
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