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Simplifying 5(2x + -1) + 4(x + -2) = 10 Reorder the terms: 5(-1 + 2x) + 4(x + -2) = 10 (-1 * 5 + 2x * 5) + 4(x + -2) = 10 (-5 + 10x) + 4(x + -2) = 10 Reorder the terms: -5 + 10x + 4(-2 + x) = 10 -5 + 10x + (-2 * 4 + x * 4) = 10 -5 + 10x + (-8 + 4x) = 10 Reorder the terms: -5 + -8 + 10x + 4x = 10 Combine like terms: -5 + -8 = -13 -13 + 10x + 4x = 10 Combine like terms: 10x + 4x = 14x -13 + 14x = 10 Solving -13 + 14x = 10 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 + 14x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 10 + 13 14x = 10 + 13 Combine like terms: 10 + 13 = 23 14x = 23 Divide each side by '14'. x = 1.642857143 Simplifying x = 1.642857143
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