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Simplifying 5 + 3x = 7(x + 4) Reorder the terms: 5 + 3x = 7(4 + x) 5 + 3x = (4 * 7 + x * 7) 5 + 3x = (28 + 7x) Solving 5 + 3x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 3x + -7x = 28 + 7x + -7x Combine like terms: 3x + -7x = -4x 5 + -4x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -4x = 28 + 0 5 + -4x = 28 Add '-5' to each side of the equation. 5 + -5 + -4x = 28 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 28 + -5 -4x = 28 + -5 Combine like terms: 28 + -5 = 23 -4x = 23 Divide each side by '-4'. x = -5.75 Simplifying x = -5.75
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