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Simplifying 5(2 + x) + -3x = 4(2x + 3) (2 * 5 + x * 5) + -3x = 4(2x + 3) (10 + 5x) + -3x = 4(2x + 3) Combine like terms: 5x + -3x = 2x 10 + 2x = 4(2x + 3) Reorder the terms: 10 + 2x = 4(3 + 2x) 10 + 2x = (3 * 4 + 2x * 4) 10 + 2x = (12 + 8x) Solving 10 + 2x = 12 + 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. 10 + 2x + -8x = 12 + 8x + -8x Combine like terms: 2x + -8x = -6x 10 + -6x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -6x = 12 + 0 10 + -6x = 12 Add '-10' to each side of the equation. 10 + -10 + -6x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 12 + -10 -6x = 12 + -10 Combine like terms: 12 + -10 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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