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Simplifying 5(2x + -3) + -4(x + -2) = 17 Reorder the terms: 5(-3 + 2x) + -4(x + -2) = 17 (-3 * 5 + 2x * 5) + -4(x + -2) = 17 (-15 + 10x) + -4(x + -2) = 17 Reorder the terms: -15 + 10x + -4(-2 + x) = 17 -15 + 10x + (-2 * -4 + x * -4) = 17 -15 + 10x + (8 + -4x) = 17 Reorder the terms: -15 + 8 + 10x + -4x = 17 Combine like terms: -15 + 8 = -7 -7 + 10x + -4x = 17 Combine like terms: 10x + -4x = 6x -7 + 6x = 17 Solving -7 + 6x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6x = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 17 + 7 6x = 17 + 7 Combine like terms: 17 + 7 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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