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Simplifying 5(x + -3) + -4(x + 2) = 1 + -5x Reorder the terms: 5(-3 + x) + -4(x + 2) = 1 + -5x (-3 * 5 + x * 5) + -4(x + 2) = 1 + -5x (-15 + 5x) + -4(x + 2) = 1 + -5x Reorder the terms: -15 + 5x + -4(2 + x) = 1 + -5x -15 + 5x + (2 * -4 + x * -4) = 1 + -5x -15 + 5x + (-8 + -4x) = 1 + -5x Reorder the terms: -15 + -8 + 5x + -4x = 1 + -5x Combine like terms: -15 + -8 = -23 -23 + 5x + -4x = 1 + -5x Combine like terms: 5x + -4x = 1x -23 + 1x = 1 + -5x Solving -23 + 1x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -23 + 1x + 5x = 1 + -5x + 5x Combine like terms: 1x + 5x = 6x -23 + 6x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -23 + 6x = 1 + 0 -23 + 6x = 1 Add '23' to each side of the equation. -23 + 23 + 6x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = 1 + 23 6x = 1 + 23 Combine like terms: 1 + 23 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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