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Simplifying 2(x + -4) + 5 = 4x + -7 Reorder the terms: 2(-4 + x) + 5 = 4x + -7 (-4 * 2 + x * 2) + 5 = 4x + -7 (-8 + 2x) + 5 = 4x + -7 Reorder the terms: -8 + 5 + 2x = 4x + -7 Combine like terms: -8 + 5 = -3 -3 + 2x = 4x + -7 Reorder the terms: -3 + 2x = -7 + 4x Solving -3 + 2x = -7 + 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. -3 + 2x + -4x = -7 + 4x + -4x Combine like terms: 2x + -4x = -2x -3 + -2x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -2x = -7 + 0 -3 + -2x = -7 Add '3' to each side of the equation. -3 + 3 + -2x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -7 + 3 -2x = -7 + 3 Combine like terms: -7 + 3 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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