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Simplifying 3(x + -3) + -5(x + 2) = 2(x) + 1(1) Reorder the terms: 3(-3 + x) + -5(x + 2) = 2(x) + 1(1) (-3 * 3 + x * 3) + -5(x + 2) = 2(x) + 1(1) (-9 + 3x) + -5(x + 2) = 2(x) + 1(1) Reorder the terms: -9 + 3x + -5(2 + x) = 2(x) + 1(1) -9 + 3x + (2 * -5 + x * -5) = 2(x) + 1(1) -9 + 3x + (-10 + -5x) = 2(x) + 1(1) Reorder the terms: -9 + -10 + 3x + -5x = 2(x) + 1(1) Combine like terms: -9 + -10 = -19 -19 + 3x + -5x = 2(x) + 1(1) Combine like terms: 3x + -5x = -2x -19 + -2x = 2(x) + 1(1) Multiply 1 * 1 -19 + -2x = 2x + 1 Reorder the terms: -19 + -2x = 1 + 2x Solving -19 + -2x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + -2x + -2x = 1 + 2x + -2x Combine like terms: -2x + -2x = -4x -19 + -4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + -4x = 1 + 0 -19 + -4x = 1 Add '19' to each side of the equation. -19 + 19 + -4x = 1 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 1 + 19 -4x = 1 + 19 Combine like terms: 1 + 19 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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