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Simplifying 3(3x + -4) + 6 = 5(x + -1) + 1 Reorder the terms: 3(-4 + 3x) + 6 = 5(x + -1) + 1 (-4 * 3 + 3x * 3) + 6 = 5(x + -1) + 1 (-12 + 9x) + 6 = 5(x + -1) + 1 Reorder the terms: -12 + 6 + 9x = 5(x + -1) + 1 Combine like terms: -12 + 6 = -6 -6 + 9x = 5(x + -1) + 1 Reorder the terms: -6 + 9x = 5(-1 + x) + 1 -6 + 9x = (-1 * 5 + x * 5) + 1 -6 + 9x = (-5 + 5x) + 1 Reorder the terms: -6 + 9x = -5 + 1 + 5x Combine like terms: -5 + 1 = -4 -6 + 9x = -4 + 5x Solving -6 + 9x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 9x + -5x = -4 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = -4 + 0 -6 + 4x = -4 Add '6' to each side of the equation. -6 + 6 + 4x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -4 + 6 4x = -4 + 6 Combine like terms: -4 + 6 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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