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Simplifying 4(3x + -2) + -5 = 9x + -4 Reorder the terms: 4(-2 + 3x) + -5 = 9x + -4 (-2 * 4 + 3x * 4) + -5 = 9x + -4 (-8 + 12x) + -5 = 9x + -4 Reorder the terms: -8 + -5 + 12x = 9x + -4 Combine like terms: -8 + -5 = -13 -13 + 12x = 9x + -4 Reorder the terms: -13 + 12x = -4 + 9x Solving -13 + 12x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 12x + -9x = -4 + 9x + -9x Combine like terms: 12x + -9x = 3x -13 + 3x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 3x = -4 + 0 -13 + 3x = -4 Add '13' to each side of the equation. -13 + 13 + 3x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = -4 + 13 3x = -4 + 13 Combine like terms: -4 + 13 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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