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Simplifying 6(4x + -1) + -6 = -3x + 3(4x + -5) Reorder the terms: 6(-1 + 4x) + -6 = -3x + 3(4x + -5) (-1 * 6 + 4x * 6) + -6 = -3x + 3(4x + -5) (-6 + 24x) + -6 = -3x + 3(4x + -5) Reorder the terms: -6 + -6 + 24x = -3x + 3(4x + -5) Combine like terms: -6 + -6 = -12 -12 + 24x = -3x + 3(4x + -5) Reorder the terms: -12 + 24x = -3x + 3(-5 + 4x) -12 + 24x = -3x + (-5 * 3 + 4x * 3) -12 + 24x = -3x + (-15 + 12x) Reorder the terms: -12 + 24x = -15 + -3x + 12x Combine like terms: -3x + 12x = 9x -12 + 24x = -15 + 9x Solving -12 + 24x = -15 + 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. -12 + 24x + -9x = -15 + 9x + -9x Combine like terms: 24x + -9x = 15x -12 + 15x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 15x = -15 + 0 -12 + 15x = -15 Add '12' to each side of the equation. -12 + 12 + 15x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = -15 + 12 15x = -15 + 12 Combine like terms: -15 + 12 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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