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Simplifying 6 + 4(x + -3) = 2(6x + -3) Reorder the terms: 6 + 4(-3 + x) = 2(6x + -3) 6 + (-3 * 4 + x * 4) = 2(6x + -3) 6 + (-12 + 4x) = 2(6x + -3) Combine like terms: 6 + -12 = -6 -6 + 4x = 2(6x + -3) Reorder the terms: -6 + 4x = 2(-3 + 6x) -6 + 4x = (-3 * 2 + 6x * 2) -6 + 4x = (-6 + 12x) Add '6' to each side of the equation. -6 + 6 + 4x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 0 + 4x = -6 + 6 + 12x 4x = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 4x = 0 + 12x 4x = 12x Solving 4x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x -8x = 12x + -12x Combine like terms: 12x + -12x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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