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Simplifying 2x + -4(x + -5) = -2 + 3x + -13 Reorder the terms: 2x + -4(-5 + x) = -2 + 3x + -13 2x + (-5 * -4 + x * -4) = -2 + 3x + -13 2x + (20 + -4x) = -2 + 3x + -13 Reorder the terms: 20 + 2x + -4x = -2 + 3x + -13 Combine like terms: 2x + -4x = -2x 20 + -2x = -2 + 3x + -13 Reorder the terms: 20 + -2x = -2 + -13 + 3x Combine like terms: -2 + -13 = -15 20 + -2x = -15 + 3x Solving 20 + -2x = -15 + 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 + -2x + -3x = -15 + 3x + -3x Combine like terms: -2x + -3x = -5x 20 + -5x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -5x = -15 + 0 20 + -5x = -15 Add '-20' to each side of the equation. 20 + -20 + -5x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -15 + -20 -5x = -15 + -20 Combine like terms: -15 + -20 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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