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Simplifying 4(2x + 3) = 5(x + -3) + 10 Reorder the terms: 4(3 + 2x) = 5(x + -3) + 10 (3 * 4 + 2x * 4) = 5(x + -3) + 10 (12 + 8x) = 5(x + -3) + 10 Reorder the terms: 12 + 8x = 5(-3 + x) + 10 12 + 8x = (-3 * 5 + x * 5) + 10 12 + 8x = (-15 + 5x) + 10 Reorder the terms: 12 + 8x = -15 + 10 + 5x Combine like terms: -15 + 10 = -5 12 + 8x = -5 + 5x Solving 12 + 8x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 8x + -5x = -5 + 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = -5 + 0 12 + 3x = -5 Add '-12' to each side of the equation. 12 + -12 + 3x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -5 + -12 3x = -5 + -12 Combine like terms: -5 + -12 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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