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Simplifying 4(3x + -5) + -2 = 4(x + -2) + 58 Reorder the terms: 4(-5 + 3x) + -2 = 4(x + -2) + 58 (-5 * 4 + 3x * 4) + -2 = 4(x + -2) + 58 (-20 + 12x) + -2 = 4(x + -2) + 58 Reorder the terms: -20 + -2 + 12x = 4(x + -2) + 58 Combine like terms: -20 + -2 = -22 -22 + 12x = 4(x + -2) + 58 Reorder the terms: -22 + 12x = 4(-2 + x) + 58 -22 + 12x = (-2 * 4 + x * 4) + 58 -22 + 12x = (-8 + 4x) + 58 Reorder the terms: -22 + 12x = -8 + 58 + 4x Combine like terms: -8 + 58 = 50 -22 + 12x = 50 + 4x Solving -22 + 12x = 50 + 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. -22 + 12x + -4x = 50 + 4x + -4x Combine like terms: 12x + -4x = 8x -22 + 8x = 50 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 8x = 50 + 0 -22 + 8x = 50 Add '22' to each side of the equation. -22 + 22 + 8x = 50 + 22 Combine like terms: -22 + 22 = 0 0 + 8x = 50 + 22 8x = 50 + 22 Combine like terms: 50 + 22 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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