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Simplifying 5(2x + -1) + -2(x + 4) = 19 Reorder the terms: 5(-1 + 2x) + -2(x + 4) = 19 (-1 * 5 + 2x * 5) + -2(x + 4) = 19 (-5 + 10x) + -2(x + 4) = 19 Reorder the terms: -5 + 10x + -2(4 + x) = 19 -5 + 10x + (4 * -2 + x * -2) = 19 -5 + 10x + (-8 + -2x) = 19 Reorder the terms: -5 + -8 + 10x + -2x = 19 Combine like terms: -5 + -8 = -13 -13 + 10x + -2x = 19 Combine like terms: 10x + -2x = 8x -13 + 8x = 19 Solving -13 + 8x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 19 + 13 8x = 19 + 13 Combine like terms: 19 + 13 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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