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Simplifying 2(14x + -19) + 3(x + -8) = 0 Reorder the terms: 2(-19 + 14x) + 3(x + -8) = 0 (-19 * 2 + 14x * 2) + 3(x + -8) = 0 (-38 + 28x) + 3(x + -8) = 0 Reorder the terms: -38 + 28x + 3(-8 + x) = 0 -38 + 28x + (-8 * 3 + x * 3) = 0 -38 + 28x + (-24 + 3x) = 0 Reorder the terms: -38 + -24 + 28x + 3x = 0 Combine like terms: -38 + -24 = -62 -62 + 28x + 3x = 0 Combine like terms: 28x + 3x = 31x -62 + 31x = 0 Solving -62 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 31x = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 31x = 0 + 62 31x = 0 + 62 Combine like terms: 0 + 62 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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