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Simplifying 3(2x + -3) + -1 = 8x + -4 Reorder the terms: 3(-3 + 2x) + -1 = 8x + -4 (-3 * 3 + 2x * 3) + -1 = 8x + -4 (-9 + 6x) + -1 = 8x + -4 Reorder the terms: -9 + -1 + 6x = 8x + -4 Combine like terms: -9 + -1 = -10 -10 + 6x = 8x + -4 Reorder the terms: -10 + 6x = -4 + 8x Solving -10 + 6x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x -10 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -2x = -4 + 0 -10 + -2x = -4 Add '10' to each side of the equation. -10 + 10 + -2x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -4 + 10 -2x = -4 + 10 Combine like terms: -4 + 10 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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