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Simplifying 3x + 4 + -5x = 12(6x + -7) Reorder the terms: 4 + 3x + -5x = 12(6x + -7) Combine like terms: 3x + -5x = -2x 4 + -2x = 12(6x + -7) Reorder the terms: 4 + -2x = 12(-7 + 6x) 4 + -2x = (-7 * 12 + 6x * 12) 4 + -2x = (-84 + 72x) Solving 4 + -2x = -84 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 4 + -2x + -72x = -84 + 72x + -72x Combine like terms: -2x + -72x = -74x 4 + -74x = -84 + 72x + -72x Combine like terms: 72x + -72x = 0 4 + -74x = -84 + 0 4 + -74x = -84 Add '-4' to each side of the equation. 4 + -4 + -74x = -84 + -4 Combine like terms: 4 + -4 = 0 0 + -74x = -84 + -4 -74x = -84 + -4 Combine like terms: -84 + -4 = -88 -74x = -88 Divide each side by '-74'. x = 1.189189189 Simplifying x = 1.189189189
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