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Simplifying 6 = 4(x + -3) + -7x Reorder the terms: 6 = 4(-3 + x) + -7x 6 = (-3 * 4 + x * 4) + -7x 6 = (-12 + 4x) + -7x Combine like terms: 4x + -7x = -3x 6 = -12 + -3x Solving 6 = -12 + -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 + 3x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 3x = -12 + 0 6 + 3x = -12 Add '-6' to each side of the equation. 6 + -6 + 3x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -12 + -6 3x = -12 + -6 Combine like terms: -12 + -6 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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