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Simplifying 6(4x + -1) = 3(x + -7) Reorder the terms: 6(-1 + 4x) = 3(x + -7) (-1 * 6 + 4x * 6) = 3(x + -7) (-6 + 24x) = 3(x + -7) Reorder the terms: -6 + 24x = 3(-7 + x) -6 + 24x = (-7 * 3 + x * 3) -6 + 24x = (-21 + 3x) Solving -6 + 24x = -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 + 24x + -3x = -21 + 3x + -3x Combine like terms: 24x + -3x = 21x -6 + 21x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 21x = -21 + 0 -6 + 21x = -21 Add '6' to each side of the equation. -6 + 6 + 21x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 21x = -21 + 6 21x = -21 + 6 Combine like terms: -21 + 6 = -15 21x = -15 Divide each side by '21'. x = -0.7142857143 Simplifying x = -0.7142857143
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