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Simplifying 5(x + -3x) + -3(x + 1) = 2x + 10 Combine like terms: x + -3x = -2x 5(-2x) + -3(x + 1) = 2x + 10 Remove parenthesis around (-2x) 5 * -2x + -3(x + 1) = 2x + 10 Multiply 5 * -2 -10x + -3(x + 1) = 2x + 10 Reorder the terms: -10x + -3(1 + x) = 2x + 10 -10x + (1 * -3 + x * -3) = 2x + 10 -10x + (-3 + -3x) = 2x + 10 Reorder the terms: -3 + -10x + -3x = 2x + 10 Combine like terms: -10x + -3x = -13x -3 + -13x = 2x + 10 Reorder the terms: -3 + -13x = 10 + 2x Solving -3 + -13x = 10 + 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. -3 + -13x + -2x = 10 + 2x + -2x Combine like terms: -13x + -2x = -15x -3 + -15x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -15x = 10 + 0 -3 + -15x = 10 Add '3' to each side of the equation. -3 + 3 + -15x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -15x = 10 + 3 -15x = 10 + 3 Combine like terms: 10 + 3 = 13 -15x = 13 Divide each side by '-15'. x = -0.8666666667 Simplifying x = -0.8666666667
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