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Simplifying 4(2x + 3) = 5(3x + -2) Reorder the terms: 4(3 + 2x) = 5(3x + -2) (3 * 4 + 2x * 4) = 5(3x + -2) (12 + 8x) = 5(3x + -2) Reorder the terms: 12 + 8x = 5(-2 + 3x) 12 + 8x = (-2 * 5 + 3x * 5) 12 + 8x = (-10 + 15x) Solving 12 + 8x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + 8x + -15x = -10 + 15x + -15x Combine like terms: 8x + -15x = -7x 12 + -7x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -7x = -10 + 0 12 + -7x = -10 Add '-12' to each side of the equation. 12 + -12 + -7x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -10 + -12 -7x = -10 + -12 Combine like terms: -10 + -12 = -22 -7x = -22 Divide each side by '-7'. x = 3.142857143 Simplifying x = 3.142857143
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