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Simplifying 4(3x + -9) + -6 = 4(x + -2) + 6 Reorder the terms: 4(-9 + 3x) + -6 = 4(x + -2) + 6 (-9 * 4 + 3x * 4) + -6 = 4(x + -2) + 6 (-36 + 12x) + -6 = 4(x + -2) + 6 Reorder the terms: -36 + -6 + 12x = 4(x + -2) + 6 Combine like terms: -36 + -6 = -42 -42 + 12x = 4(x + -2) + 6 Reorder the terms: -42 + 12x = 4(-2 + x) + 6 -42 + 12x = (-2 * 4 + x * 4) + 6 -42 + 12x = (-8 + 4x) + 6 Reorder the terms: -42 + 12x = -8 + 6 + 4x Combine like terms: -8 + 6 = -2 -42 + 12x = -2 + 4x Solving -42 + 12x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 12x + -4x = -2 + 4x + -4x Combine like terms: 12x + -4x = 8x -42 + 8x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 8x = -2 + 0 -42 + 8x = -2 Add '42' to each side of the equation. -42 + 42 + 8x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 8x = -2 + 42 8x = -2 + 42 Combine like terms: -2 + 42 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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