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Simplifying 5(x + 3) + -7 = 4x + 1 Reorder the terms: 5(3 + x) + -7 = 4x + 1 (3 * 5 + x * 5) + -7 = 4x + 1 (15 + 5x) + -7 = 4x + 1 Reorder the terms: 15 + -7 + 5x = 4x + 1 Combine like terms: 15 + -7 = 8 8 + 5x = 4x + 1 Reorder the terms: 8 + 5x = 1 + 4x Solving 8 + 5x = 1 + 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. 8 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 8 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 1x = 1 + 0 8 + 1x = 1 Add '-8' to each side of the equation. 8 + -8 + 1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 1 + -8 1x = 1 + -8 Combine like terms: 1 + -8 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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