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Simplifying 3x + 4 + -4x = 2(3x + -5) Reorder the terms: 4 + 3x + -4x = 2(3x + -5) Combine like terms: 3x + -4x = -1x 4 + -1x = 2(3x + -5) Reorder the terms: 4 + -1x = 2(-5 + 3x) 4 + -1x = (-5 * 2 + 3x * 2) 4 + -1x = (-10 + 6x) Solving 4 + -1x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -1x + -6x = -10 + 6x + -6x Combine like terms: -1x + -6x = -7x 4 + -7x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -7x = -10 + 0 4 + -7x = -10 Add '-4' to each side of the equation. 4 + -4 + -7x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -10 + -4 -7x = -10 + -4 Combine like terms: -10 + -4 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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