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Simplifying 4(2x + -3) + -2 = 5x + -2 Reorder the terms: 4(-3 + 2x) + -2 = 5x + -2 (-3 * 4 + 2x * 4) + -2 = 5x + -2 (-12 + 8x) + -2 = 5x + -2 Reorder the terms: -12 + -2 + 8x = 5x + -2 Combine like terms: -12 + -2 = -14 -14 + 8x = 5x + -2 Reorder the terms: -14 + 8x = -2 + 5x Solving -14 + 8x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 8x + -5x = -2 + 5x + -5x Combine like terms: 8x + -5x = 3x -14 + 3x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 3x = -2 + 0 -14 + 3x = -2 Add '14' to each side of the equation. -14 + 14 + 3x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -2 + 14 3x = -2 + 14 Combine like terms: -2 + 14 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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