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