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Simplifying 4x + -2(x + -3) = -2 + 4x + -8 Reorder the terms: 4x + -2(-3 + x) = -2 + 4x + -8 4x + (-3 * -2 + x * -2) = -2 + 4x + -8 4x + (6 + -2x) = -2 + 4x + -8 Reorder the terms: 6 + 4x + -2x = -2 + 4x + -8 Combine like terms: 4x + -2x = 2x 6 + 2x = -2 + 4x + -8 Reorder the terms: 6 + 2x = -2 + -8 + 4x Combine like terms: -2 + -8 = -10 6 + 2x = -10 + 4x Solving 6 + 2x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 2x + -4x = -10 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x = -10 + 0 6 + -2x = -10 Add '-6' to each side of the equation. 6 + -6 + -2x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -10 + -6 -2x = -10 + -6 Combine like terms: -10 + -6 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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