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Simplifying 3(4x + 5) + -2(4x + -3) = x + 3 Reorder the terms: 3(5 + 4x) + -2(4x + -3) = x + 3 (5 * 3 + 4x * 3) + -2(4x + -3) = x + 3 (15 + 12x) + -2(4x + -3) = x + 3 Reorder the terms: 15 + 12x + -2(-3 + 4x) = x + 3 15 + 12x + (-3 * -2 + 4x * -2) = x + 3 15 + 12x + (6 + -8x) = x + 3 Reorder the terms: 15 + 6 + 12x + -8x = x + 3 Combine like terms: 15 + 6 = 21 21 + 12x + -8x = x + 3 Combine like terms: 12x + -8x = 4x 21 + 4x = x + 3 Reorder the terms: 21 + 4x = 3 + x Solving 21 + 4x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + 4x + -1x = 3 + x + -1x Combine like terms: 4x + -1x = 3x 21 + 3x = 3 + x + -1x Combine like terms: x + -1x = 0 21 + 3x = 3 + 0 21 + 3x = 3 Add '-21' to each side of the equation. 21 + -21 + 3x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 3 + -21 3x = 3 + -21 Combine like terms: 3 + -21 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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