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Simplifying 4(x + 3) + -2(-1x + 3) = 6 + -1x Reorder the terms: 4(3 + x) + -2(-1x + 3) = 6 + -1x (3 * 4 + x * 4) + -2(-1x + 3) = 6 + -1x (12 + 4x) + -2(-1x + 3) = 6 + -1x Reorder the terms: 12 + 4x + -2(3 + -1x) = 6 + -1x 12 + 4x + (3 * -2 + -1x * -2) = 6 + -1x 12 + 4x + (-6 + 2x) = 6 + -1x Reorder the terms: 12 + -6 + 4x + 2x = 6 + -1x Combine like terms: 12 + -6 = 6 6 + 4x + 2x = 6 + -1x Combine like terms: 4x + 2x = 6x 6 + 6x = 6 + -1x Add '-6' to each side of the equation. 6 + -6 + 6x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 0 + 6x = 6 + -6 + -1x 6x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 6x = 0 + -1x 6x = -1x Solving 6x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6x + x = -1x + x Combine like terms: 6x + x = 7x 7x = -1x + x Combine like terms: -1x + x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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