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Simplifying (4x + 6) + -8 = -3x + 5(x + -2) Reorder the terms: (6 + 4x) + -8 = -3x + 5(x + -2) Remove parenthesis around (6 + 4x) 6 + 4x + -8 = -3x + 5(x + -2) Reorder the terms: 6 + -8 + 4x = -3x + 5(x + -2) Combine like terms: 6 + -8 = -2 -2 + 4x = -3x + 5(x + -2) Reorder the terms: -2 + 4x = -3x + 5(-2 + x) -2 + 4x = -3x + (-2 * 5 + x * 5) -2 + 4x = -3x + (-10 + 5x) Reorder the terms: -2 + 4x = -10 + -3x + 5x Combine like terms: -3x + 5x = 2x -2 + 4x = -10 + 2x Solving -2 + 4x = -10 + 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. -2 + 4x + -2x = -10 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = -10 + 0 -2 + 2x = -10 Add '2' to each side of the equation. -2 + 2 + 2x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -10 + 2 2x = -10 + 2 Combine like terms: -10 + 2 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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