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Simplifying 9(x + -4) + 8 = 4(3x + -2) + 8 Reorder the terms: 9(-4 + x) + 8 = 4(3x + -2) + 8 (-4 * 9 + x * 9) + 8 = 4(3x + -2) + 8 (-36 + 9x) + 8 = 4(3x + -2) + 8 Reorder the terms: -36 + 8 + 9x = 4(3x + -2) + 8 Combine like terms: -36 + 8 = -28 -28 + 9x = 4(3x + -2) + 8 Reorder the terms: -28 + 9x = 4(-2 + 3x) + 8 -28 + 9x = (-2 * 4 + 3x * 4) + 8 -28 + 9x = (-8 + 12x) + 8 Reorder the terms: -28 + 9x = -8 + 8 + 12x Combine like terms: -8 + 8 = 0 -28 + 9x = 0 + 12x -28 + 9x = 12x Solving -28 + 9x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + 9x + -12x = 12x + -12x Combine like terms: 9x + -12x = -3x -28 + -3x = 12x + -12x Combine like terms: 12x + -12x = 0 -28 + -3x = 0 Add '28' to each side of the equation. -28 + 28 + -3x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = 0 + 28 -3x = 0 + 28 Combine like terms: 0 + 28 = 28 -3x = 28 Divide each side by '-3'. x = -9.333333333 Simplifying x = -9.333333333
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