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Simplifying 3(4x + 13) + -5(2x + 3) = x + 4 Reorder the terms: 3(13 + 4x) + -5(2x + 3) = x + 4 (13 * 3 + 4x * 3) + -5(2x + 3) = x + 4 (39 + 12x) + -5(2x + 3) = x + 4 Reorder the terms: 39 + 12x + -5(3 + 2x) = x + 4 39 + 12x + (3 * -5 + 2x * -5) = x + 4 39 + 12x + (-15 + -10x) = x + 4 Reorder the terms: 39 + -15 + 12x + -10x = x + 4 Combine like terms: 39 + -15 = 24 24 + 12x + -10x = x + 4 Combine like terms: 12x + -10x = 2x 24 + 2x = x + 4 Reorder the terms: 24 + 2x = 4 + x Solving 24 + 2x = 4 + 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. 24 + 2x + -1x = 4 + x + -1x Combine like terms: 2x + -1x = 1x 24 + 1x = 4 + x + -1x Combine like terms: x + -1x = 0 24 + 1x = 4 + 0 24 + 1x = 4 Add '-24' to each side of the equation. 24 + -24 + 1x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 4 + -24 1x = 4 + -24 Combine like terms: 4 + -24 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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