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Simplifying 3(x + 2) + -5x = 4(x + 3) Reorder the terms: 3(2 + x) + -5x = 4(x + 3) (2 * 3 + x * 3) + -5x = 4(x + 3) (6 + 3x) + -5x = 4(x + 3) Combine like terms: 3x + -5x = -2x 6 + -2x = 4(x + 3) Reorder the terms: 6 + -2x = 4(3 + x) 6 + -2x = (3 * 4 + x * 4) 6 + -2x = (12 + 4x) Solving 6 + -2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -2x + -4x = 12 + 4x + -4x Combine like terms: -2x + -4x = -6x 6 + -6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -6x = 12 + 0 6 + -6x = 12 Add '-6' to each side of the equation. 6 + -6 + -6x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 12 + -6 -6x = 12 + -6 Combine like terms: 12 + -6 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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