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Simplifying 5(3x + 2) = 6 + -4(2x + -3) Reorder the terms: 5(2 + 3x) = 6 + -4(2x + -3) (2 * 5 + 3x * 5) = 6 + -4(2x + -3) (10 + 15x) = 6 + -4(2x + -3) Reorder the terms: 10 + 15x = 6 + -4(-3 + 2x) 10 + 15x = 6 + (-3 * -4 + 2x * -4) 10 + 15x = 6 + (12 + -8x) Combine like terms: 6 + 12 = 18 10 + 15x = 18 + -8x Solving 10 + 15x = 18 + -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 + 15x + 8x = 18 + -8x + 8x Combine like terms: 15x + 8x = 23x 10 + 23x = 18 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 23x = 18 + 0 10 + 23x = 18 Add '-10' to each side of the equation. 10 + -10 + 23x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 23x = 18 + -10 23x = 18 + -10 Combine like terms: 18 + -10 = 8 23x = 8 Divide each side by '23'. x = 0.347826087 Simplifying x = 0.347826087
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