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Simplifying 5x + -3(3 + -1x) = (x + 1) + 6x + -4 5x + (3 * -3 + -1x * -3) = (x + 1) + 6x + -4 5x + (-9 + 3x) = (x + 1) + 6x + -4 Reorder the terms: -9 + 5x + 3x = (x + 1) + 6x + -4 Combine like terms: 5x + 3x = 8x -9 + 8x = (x + 1) + 6x + -4 Reorder the terms: -9 + 8x = (1 + x) + 6x + -4 Remove parenthesis around (1 + x) -9 + 8x = 1 + x + 6x + -4 Reorder the terms: -9 + 8x = 1 + -4 + x + 6x Combine like terms: 1 + -4 = -3 -9 + 8x = -3 + x + 6x Combine like terms: x + 6x = 7x -9 + 8x = -3 + 7x Solving -9 + 8x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 8x + -7x = -3 + 7x + -7x Combine like terms: 8x + -7x = 1x -9 + 1x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + 1x = -3 + 0 -9 + 1x = -3 Add '9' to each side of the equation. -9 + 9 + 1x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -3 + 9 1x = -3 + 9 Combine like terms: -3 + 9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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