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Simplifying 4(x + 3) + -7 = 5x + -1 Reorder the terms: 4(3 + x) + -7 = 5x + -1 (3 * 4 + x * 4) + -7 = 5x + -1 (12 + 4x) + -7 = 5x + -1 Reorder the terms: 12 + -7 + 4x = 5x + -1 Combine like terms: 12 + -7 = 5 5 + 4x = 5x + -1 Reorder the terms: 5 + 4x = -1 + 5x Solving 5 + 4x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 4x + -5x = -1 + 5x + -5x Combine like terms: 4x + -5x = -1x 5 + -1x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -1x = -1 + 0 5 + -1x = -1 Add '-5' to each side of the equation. 5 + -5 + -1x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -1 + -5 -1x = -1 + -5 Combine like terms: -1 + -5 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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