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Simplifying 2(x + -5) + 3(2x + -3) = -3 Reorder the terms: 2(-5 + x) + 3(2x + -3) = -3 (-5 * 2 + x * 2) + 3(2x + -3) = -3 (-10 + 2x) + 3(2x + -3) = -3 Reorder the terms: -10 + 2x + 3(-3 + 2x) = -3 -10 + 2x + (-3 * 3 + 2x * 3) = -3 -10 + 2x + (-9 + 6x) = -3 Reorder the terms: -10 + -9 + 2x + 6x = -3 Combine like terms: -10 + -9 = -19 -19 + 2x + 6x = -3 Combine like terms: 2x + 6x = 8x -19 + 8x = -3 Solving -19 + 8x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8x = -3 + 19 Combine like terms: -19 + 19 = 0 0 + 8x = -3 + 19 8x = -3 + 19 Combine like terms: -3 + 19 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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