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Simplifying 5(3x + 1) = -4(2x + -3) Reorder the terms: 5(1 + 3x) = -4(2x + -3) (1 * 5 + 3x * 5) = -4(2x + -3) (5 + 15x) = -4(2x + -3) Reorder the terms: 5 + 15x = -4(-3 + 2x) 5 + 15x = (-3 * -4 + 2x * -4) 5 + 15x = (12 + -8x) Solving 5 + 15x = 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. 5 + 15x + 8x = 12 + -8x + 8x Combine like terms: 15x + 8x = 23x 5 + 23x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 23x = 12 + 0 5 + 23x = 12 Add '-5' to each side of the equation. 5 + -5 + 23x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 23x = 12 + -5 23x = 12 + -5 Combine like terms: 12 + -5 = 7 23x = 7 Divide each side by '23'. x = 0.3043478261 Simplifying x = 0.3043478261
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