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Simplifying -3 + 4x + 9 = 5(x + 1) + -2 Reorder the terms: -3 + 9 + 4x = 5(x + 1) + -2 Combine like terms: -3 + 9 = 6 6 + 4x = 5(x + 1) + -2 Reorder the terms: 6 + 4x = 5(1 + x) + -2 6 + 4x = (1 * 5 + x * 5) + -2 6 + 4x = (5 + 5x) + -2 Reorder the terms: 6 + 4x = 5 + -2 + 5x Combine like terms: 5 + -2 = 3 6 + 4x = 3 + 5x Solving 6 + 4x = 3 + 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. 6 + 4x + -5x = 3 + 5x + -5x Combine like terms: 4x + -5x = -1x 6 + -1x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -1x = 3 + 0 6 + -1x = 3 Add '-6' to each side of the equation. 6 + -6 + -1x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 3 + -6 -1x = 3 + -6 Combine like terms: 3 + -6 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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