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Simplifying 4(x + 25) + -12 = 2x + 16 Reorder the terms: 4(25 + x) + -12 = 2x + 16 (25 * 4 + x * 4) + -12 = 2x + 16 (100 + 4x) + -12 = 2x + 16 Reorder the terms: 100 + -12 + 4x = 2x + 16 Combine like terms: 100 + -12 = 88 88 + 4x = 2x + 16 Reorder the terms: 88 + 4x = 16 + 2x Solving 88 + 4x = 16 + 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. 88 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x 88 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 88 + 2x = 16 + 0 88 + 2x = 16 Add '-88' to each side of the equation. 88 + -88 + 2x = 16 + -88 Combine like terms: 88 + -88 = 0 0 + 2x = 16 + -88 2x = 16 + -88 Combine like terms: 16 + -88 = -72 2x = -72 Divide each side by '2'. x = -36 Simplifying x = -36
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