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Simplifying 5(x + -2) + 4 = x + 9 + -2x Reorder the terms: 5(-2 + x) + 4 = x + 9 + -2x (-2 * 5 + x * 5) + 4 = x + 9 + -2x (-10 + 5x) + 4 = x + 9 + -2x Reorder the terms: -10 + 4 + 5x = x + 9 + -2x Combine like terms: -10 + 4 = -6 -6 + 5x = x + 9 + -2x Reorder the terms: -6 + 5x = 9 + x + -2x Combine like terms: x + -2x = -1x -6 + 5x = 9 + -1x Solving -6 + 5x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 5x + x = 9 + -1x + x Combine like terms: 5x + x = 6x -6 + 6x = 9 + -1x + x Combine like terms: -1x + x = 0 -6 + 6x = 9 + 0 -6 + 6x = 9 Add '6' to each side of the equation. -6 + 6 + 6x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 9 + 6 6x = 9 + 6 Combine like terms: 9 + 6 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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