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Simplifying 5x + 3 = 2(x + 3) + -3(2 + -2x) Reorder the terms: 3 + 5x = 2(x + 3) + -3(2 + -2x) Reorder the terms: 3 + 5x = 2(3 + x) + -3(2 + -2x) 3 + 5x = (3 * 2 + x * 2) + -3(2 + -2x) 3 + 5x = (6 + 2x) + -3(2 + -2x) 3 + 5x = 6 + 2x + (2 * -3 + -2x * -3) 3 + 5x = 6 + 2x + (-6 + 6x) Reorder the terms: 3 + 5x = 6 + -6 + 2x + 6x Combine like terms: 6 + -6 = 0 3 + 5x = 0 + 2x + 6x 3 + 5x = 2x + 6x Combine like terms: 2x + 6x = 8x 3 + 5x = 8x Solving 3 + 5x = 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. 3 + 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x 3 + -3x = 8x + -8x Combine like terms: 8x + -8x = 0 3 + -3x = 0 Add '-3' to each side of the equation. 3 + -3 + -3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 0 + -3 -3x = 0 + -3 Combine like terms: 0 + -3 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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