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Simplifying 4x + -8 = 5x + -3(x + 6) Reorder the terms: -8 + 4x = 5x + -3(x + 6) Reorder the terms: -8 + 4x = 5x + -3(6 + x) -8 + 4x = 5x + (6 * -3 + x * -3) -8 + 4x = 5x + (-18 + -3x) Reorder the terms: -8 + 4x = -18 + 5x + -3x Combine like terms: 5x + -3x = 2x -8 + 4x = -18 + 2x Solving -8 + 4x = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 4x + -2x = -18 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = -18 + 0 -8 + 2x = -18 Add '8' to each side of the equation. -8 + 8 + 2x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -18 + 8 2x = -18 + 8 Combine like terms: -18 + 8 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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