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Simplifying 3(2x + -3) + -1 = -4(2x + 1) + 8 Reorder the terms: 3(-3 + 2x) + -1 = -4(2x + 1) + 8 (-3 * 3 + 2x * 3) + -1 = -4(2x + 1) + 8 (-9 + 6x) + -1 = -4(2x + 1) + 8 Reorder the terms: -9 + -1 + 6x = -4(2x + 1) + 8 Combine like terms: -9 + -1 = -10 -10 + 6x = -4(2x + 1) + 8 Reorder the terms: -10 + 6x = -4(1 + 2x) + 8 -10 + 6x = (1 * -4 + 2x * -4) + 8 -10 + 6x = (-4 + -8x) + 8 Reorder the terms: -10 + 6x = -4 + 8 + -8x Combine like terms: -4 + 8 = 4 -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 = 14x -10 + 14x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 14x = 4 + 0 -10 + 14x = 4 Add '10' to each side of the equation. -10 + 10 + 14x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 4 + 10 14x = 4 + 10 Combine like terms: 4 + 10 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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