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Simplifying 4(x + -3) = 18 + -6(4x + 1) Reorder the terms: 4(-3 + x) = 18 + -6(4x + 1) (-3 * 4 + x * 4) = 18 + -6(4x + 1) (-12 + 4x) = 18 + -6(4x + 1) Reorder the terms: -12 + 4x = 18 + -6(1 + 4x) -12 + 4x = 18 + (1 * -6 + 4x * -6) -12 + 4x = 18 + (-6 + -24x) Combine like terms: 18 + -6 = 12 -12 + 4x = 12 + -24x Solving -12 + 4x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -12 + 4x + 24x = 12 + -24x + 24x Combine like terms: 4x + 24x = 28x -12 + 28x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 -12 + 28x = 12 + 0 -12 + 28x = 12 Add '12' to each side of the equation. -12 + 12 + 28x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 28x = 12 + 12 28x = 12 + 12 Combine like terms: 12 + 12 = 24 28x = 24 Divide each side by '28'. x = 0.8571428571 Simplifying x = 0.8571428571
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