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Simplifying 4(3x + -2) + -7 = 5(4x + -5) + -22 Reorder the terms: 4(-2 + 3x) + -7 = 5(4x + -5) + -22 (-2 * 4 + 3x * 4) + -7 = 5(4x + -5) + -22 (-8 + 12x) + -7 = 5(4x + -5) + -22 Reorder the terms: -8 + -7 + 12x = 5(4x + -5) + -22 Combine like terms: -8 + -7 = -15 -15 + 12x = 5(4x + -5) + -22 Reorder the terms: -15 + 12x = 5(-5 + 4x) + -22 -15 + 12x = (-5 * 5 + 4x * 5) + -22 -15 + 12x = (-25 + 20x) + -22 Reorder the terms: -15 + 12x = -25 + -22 + 20x Combine like terms: -25 + -22 = -47 -15 + 12x = -47 + 20x Solving -15 + 12x = -47 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -15 + 12x + -20x = -47 + 20x + -20x Combine like terms: 12x + -20x = -8x -15 + -8x = -47 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -8x = -47 + 0 -15 + -8x = -47 Add '15' to each side of the equation. -15 + 15 + -8x = -47 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = -47 + 15 -8x = -47 + 15 Combine like terms: -47 + 15 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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