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Simplifying 7(2x + -5) + 4(6 + -1x) = 19 Reorder the terms: 7(-5 + 2x) + 4(6 + -1x) = 19 (-5 * 7 + 2x * 7) + 4(6 + -1x) = 19 (-35 + 14x) + 4(6 + -1x) = 19 -35 + 14x + (6 * 4 + -1x * 4) = 19 -35 + 14x + (24 + -4x) = 19 Reorder the terms: -35 + 24 + 14x + -4x = 19 Combine like terms: -35 + 24 = -11 -11 + 14x + -4x = 19 Combine like terms: 14x + -4x = 10x -11 + 10x = 19 Solving -11 + 10x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 10x = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 10x = 19 + 11 10x = 19 + 11 Combine like terms: 19 + 11 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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