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Simplifying 4(2x + 3) = -3(x + 5) Reorder the terms: 4(3 + 2x) = -3(x + 5) (3 * 4 + 2x * 4) = -3(x + 5) (12 + 8x) = -3(x + 5) Reorder the terms: 12 + 8x = -3(5 + x) 12 + 8x = (5 * -3 + x * -3) 12 + 8x = (-15 + -3x) Solving 12 + 8x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 8x + 3x = -15 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = -15 + 0 12 + 11x = -15 Add '-12' to each side of the equation. 12 + -12 + 11x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = -15 + -12 11x = -15 + -12 Combine like terms: -15 + -12 = -27 11x = -27 Divide each side by '11'. x = -2.454545455 Simplifying x = -2.454545455
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