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Simplifying 3x + -40 = 4(2x + 3) + -2 Reorder the terms: -40 + 3x = 4(2x + 3) + -2 Reorder the terms: -40 + 3x = 4(3 + 2x) + -2 -40 + 3x = (3 * 4 + 2x * 4) + -2 -40 + 3x = (12 + 8x) + -2 Reorder the terms: -40 + 3x = 12 + -2 + 8x Combine like terms: 12 + -2 = 10 -40 + 3x = 10 + 8x Solving -40 + 3x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 3x + -8x = 10 + 8x + -8x Combine like terms: 3x + -8x = -5x -40 + -5x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + -5x = 10 + 0 -40 + -5x = 10 Add '40' to each side of the equation. -40 + 40 + -5x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = 10 + 40 -5x = 10 + 40 Combine like terms: 10 + 40 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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