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