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Simplifying 3x + -6 + -12x = 4(x + -4) + -12 Reorder the terms: -6 + 3x + -12x = 4(x + -4) + -12 Combine like terms: 3x + -12x = -9x -6 + -9x = 4(x + -4) + -12 Reorder the terms: -6 + -9x = 4(-4 + x) + -12 -6 + -9x = (-4 * 4 + x * 4) + -12 -6 + -9x = (-16 + 4x) + -12 Reorder the terms: -6 + -9x = -16 + -12 + 4x Combine like terms: -16 + -12 = -28 -6 + -9x = -28 + 4x Solving -6 + -9x = -28 + 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. -6 + -9x + -4x = -28 + 4x + -4x Combine like terms: -9x + -4x = -13x -6 + -13x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -13x = -28 + 0 -6 + -13x = -28 Add '6' to each side of the equation. -6 + 6 + -13x = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -28 + 6 -13x = -28 + 6 Combine like terms: -28 + 6 = -22 -13x = -22 Divide each side by '-13'. x = 1.692307692 Simplifying x = 1.692307692
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