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Simplifying -33 + -1x = 8x + 3(-6x + 4) Reorder the terms: -33 + -1x = 8x + 3(4 + -6x) -33 + -1x = 8x + (4 * 3 + -6x * 3) -33 + -1x = 8x + (12 + -18x) Reorder the terms: -33 + -1x = 12 + 8x + -18x Combine like terms: 8x + -18x = -10x -33 + -1x = 12 + -10x Solving -33 + -1x = 12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -33 + -1x + 10x = 12 + -10x + 10x Combine like terms: -1x + 10x = 9x -33 + 9x = 12 + -10x + 10x Combine like terms: -10x + 10x = 0 -33 + 9x = 12 + 0 -33 + 9x = 12 Add '33' to each side of the equation. -33 + 33 + 9x = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 9x = 12 + 33 9x = 12 + 33 Combine like terms: 12 + 33 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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