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Simplifying 7(13 + -2x) = x + 4(12 + 3x) (13 * 7 + -2x * 7) = x + 4(12 + 3x) (91 + -14x) = x + 4(12 + 3x) 91 + -14x = x + (12 * 4 + 3x * 4) 91 + -14x = x + (48 + 12x) Reorder the terms: 91 + -14x = 48 + x + 12x Combine like terms: x + 12x = 13x 91 + -14x = 48 + 13x Solving 91 + -14x = 48 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 91 + -14x + -13x = 48 + 13x + -13x Combine like terms: -14x + -13x = -27x 91 + -27x = 48 + 13x + -13x Combine like terms: 13x + -13x = 0 91 + -27x = 48 + 0 91 + -27x = 48 Add '-91' to each side of the equation. 91 + -91 + -27x = 48 + -91 Combine like terms: 91 + -91 = 0 0 + -27x = 48 + -91 -27x = 48 + -91 Combine like terms: 48 + -91 = -43 -27x = -43 Divide each side by '-27'. x = 1.592592593 Simplifying x = 1.592592593
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