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Simplifying 3x + 5 = 2(x + 2) + 3(2x + -2) Reorder the terms: 5 + 3x = 2(x + 2) + 3(2x + -2) Reorder the terms: 5 + 3x = 2(2 + x) + 3(2x + -2) 5 + 3x = (2 * 2 + x * 2) + 3(2x + -2) 5 + 3x = (4 + 2x) + 3(2x + -2) Reorder the terms: 5 + 3x = 4 + 2x + 3(-2 + 2x) 5 + 3x = 4 + 2x + (-2 * 3 + 2x * 3) 5 + 3x = 4 + 2x + (-6 + 6x) Reorder the terms: 5 + 3x = 4 + -6 + 2x + 6x Combine like terms: 4 + -6 = -2 5 + 3x = -2 + 2x + 6x Combine like terms: 2x + 6x = 8x 5 + 3x = -2 + 8x Solving 5 + 3x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x 5 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -5x = -2 + 0 5 + -5x = -2 Add '-5' to each side of the equation. 5 + -5 + -5x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -2 + -5 -5x = -2 + -5 Combine like terms: -2 + -5 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4
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