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Simplifying 5x + 7 = 4(x + 13) Reorder the terms: 7 + 5x = 4(x + 13) Reorder the terms: 7 + 5x = 4(13 + x) 7 + 5x = (13 * 4 + x * 4) 7 + 5x = (52 + 4x) Solving 7 + 5x = 52 + 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. 7 + 5x + -4x = 52 + 4x + -4x Combine like terms: 5x + -4x = 1x 7 + 1x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 1x = 52 + 0 7 + 1x = 52 Add '-7' to each side of the equation. 7 + -7 + 1x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 52 + -7 1x = 52 + -7 Combine like terms: 52 + -7 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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