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Simplifying 5(x + -1) + -3(x + -3) = 6x Reorder the terms: 5(-1 + x) + -3(x + -3) = 6x (-1 * 5 + x * 5) + -3(x + -3) = 6x (-5 + 5x) + -3(x + -3) = 6x Reorder the terms: -5 + 5x + -3(-3 + x) = 6x -5 + 5x + (-3 * -3 + x * -3) = 6x -5 + 5x + (9 + -3x) = 6x Reorder the terms: -5 + 9 + 5x + -3x = 6x Combine like terms: -5 + 9 = 4 4 + 5x + -3x = 6x Combine like terms: 5x + -3x = 2x 4 + 2x = 6x Solving 4 + 2x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 2x + -6x = 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x = 0 Add '-4' to each side of the equation. 4 + -4 + -4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 0 + -4 -4x = 0 + -4 Combine like terms: 0 + -4 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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