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Simplifying 5x + -5(3x + 4) = 3(x + -2) Reorder the terms: 5x + -5(4 + 3x) = 3(x + -2) 5x + (4 * -5 + 3x * -5) = 3(x + -2) 5x + (-20 + -15x) = 3(x + -2) Reorder the terms: -20 + 5x + -15x = 3(x + -2) Combine like terms: 5x + -15x = -10x -20 + -10x = 3(x + -2) Reorder the terms: -20 + -10x = 3(-2 + x) -20 + -10x = (-2 * 3 + x * 3) -20 + -10x = (-6 + 3x) Solving -20 + -10x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + -10x + -3x = -6 + 3x + -3x Combine like terms: -10x + -3x = -13x -20 + -13x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -13x = -6 + 0 -20 + -13x = -6 Add '20' to each side of the equation. -20 + 20 + -13x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = -6 + 20 -13x = -6 + 20 Combine like terms: -6 + 20 = 14 -13x = 14 Divide each side by '-13'. x = -1.076923077 Simplifying x = -1.076923077
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