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Simplifying 4x + -2(x + -5) = -7 + 4x + 5 Reorder the terms: 4x + -2(-5 + x) = -7 + 4x + 5 4x + (-5 * -2 + x * -2) = -7 + 4x + 5 4x + (10 + -2x) = -7 + 4x + 5 Reorder the terms: 10 + 4x + -2x = -7 + 4x + 5 Combine like terms: 4x + -2x = 2x 10 + 2x = -7 + 4x + 5 Reorder the terms: 10 + 2x = -7 + 5 + 4x Combine like terms: -7 + 5 = -2 10 + 2x = -2 + 4x Solving 10 + 2x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x 10 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -2x = -2 + 0 10 + -2x = -2 Add '-10' to each side of the equation. 10 + -10 + -2x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -2 + -10 -2x = -2 + -10 Combine like terms: -2 + -10 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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