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Simplifying [3x + 5] + -2x = 3x + 4 Reorder the terms: [5 + 3x] + -2x = 3x + 4 Remove brackets around [5 + 3x] 5 + 3x + -2x = 3x + 4 Combine like terms: 3x + -2x = 1x 5 + 1x = 3x + 4 Reorder the terms: 5 + 1x = 4 + 3x Solving 5 + 1x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 1x + -3x = 4 + 3x + -3x Combine like terms: 1x + -3x = -2x 5 + -2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -2x = 4 + 0 5 + -2x = 4 Add '-5' to each side of the equation. 5 + -5 + -2x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 4 + -5 -2x = 4 + -5 Combine like terms: 4 + -5 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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