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Simplifying 2(5x + -3) = -4 + -3(x + 5) Reorder the terms: 2(-3 + 5x) = -4 + -3(x + 5) (-3 * 2 + 5x * 2) = -4 + -3(x + 5) (-6 + 10x) = -4 + -3(x + 5) Reorder the terms: -6 + 10x = -4 + -3(5 + x) -6 + 10x = -4 + (5 * -3 + x * -3) -6 + 10x = -4 + (-15 + -3x) Combine like terms: -4 + -15 = -19 -6 + 10x = -19 + -3x Solving -6 + 10x = -19 + -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. -6 + 10x + 3x = -19 + -3x + 3x Combine like terms: 10x + 3x = 13x -6 + 13x = -19 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 13x = -19 + 0 -6 + 13x = -19 Add '6' to each side of the equation. -6 + 6 + 13x = -19 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = -19 + 6 13x = -19 + 6 Combine like terms: -19 + 6 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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