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Simplifying 2x + 4x + -6 = 3(x + -4) + -9 Reorder the terms: -6 + 2x + 4x = 3(x + -4) + -9 Combine like terms: 2x + 4x = 6x -6 + 6x = 3(x + -4) + -9 Reorder the terms: -6 + 6x = 3(-4 + x) + -9 -6 + 6x = (-4 * 3 + x * 3) + -9 -6 + 6x = (-12 + 3x) + -9 Reorder the terms: -6 + 6x = -12 + -9 + 3x Combine like terms: -12 + -9 = -21 -6 + 6x = -21 + 3x Solving -6 + 6x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 6x + -3x = -21 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = -21 + 0 -6 + 3x = -21 Add '6' to each side of the equation. -6 + 6 + 3x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -21 + 6 3x = -21 + 6 Combine like terms: -21 + 6 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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