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Simplifying 2(5x + -4) = 2(19x + 12) Reorder the terms: 2(-4 + 5x) = 2(19x + 12) (-4 * 2 + 5x * 2) = 2(19x + 12) (-8 + 10x) = 2(19x + 12) Reorder the terms: -8 + 10x = 2(12 + 19x) -8 + 10x = (12 * 2 + 19x * 2) -8 + 10x = (24 + 38x) Solving -8 + 10x = 24 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -8 + 10x + -38x = 24 + 38x + -38x Combine like terms: 10x + -38x = -28x -8 + -28x = 24 + 38x + -38x Combine like terms: 38x + -38x = 0 -8 + -28x = 24 + 0 -8 + -28x = 24 Add '8' to each side of the equation. -8 + 8 + -28x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -28x = 24 + 8 -28x = 24 + 8 Combine like terms: 24 + 8 = 32 -28x = 32 Divide each side by '-28'. x = -1.142857143 Simplifying x = -1.142857143
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