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Simplifying 3x + -4(2x + -5) + -5x = 3x + 7 Reorder the terms: 3x + -4(-5 + 2x) + -5x = 3x + 7 3x + (-5 * -4 + 2x * -4) + -5x = 3x + 7 3x + (20 + -8x) + -5x = 3x + 7 Reorder the terms: 20 + 3x + -8x + -5x = 3x + 7 Combine like terms: 3x + -8x = -5x 20 + -5x + -5x = 3x + 7 Combine like terms: -5x + -5x = -10x 20 + -10x = 3x + 7 Reorder the terms: 20 + -10x = 7 + 3x Solving 20 + -10x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + -10x + -3x = 7 + 3x + -3x Combine like terms: -10x + -3x = -13x 20 + -13x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -13x = 7 + 0 20 + -13x = 7 Add '-20' to each side of the equation. 20 + -20 + -13x = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -13x = 7 + -20 -13x = 7 + -20 Combine like terms: 7 + -20 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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