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Simplifying 3x + 4 = 2(5x + -6) + 2 Reorder the terms: 4 + 3x = 2(5x + -6) + 2 Reorder the terms: 4 + 3x = 2(-6 + 5x) + 2 4 + 3x = (-6 * 2 + 5x * 2) + 2 4 + 3x = (-12 + 10x) + 2 Reorder the terms: 4 + 3x = -12 + 2 + 10x Combine like terms: -12 + 2 = -10 4 + 3x = -10 + 10x Solving 4 + 3x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 3x + -10x = -10 + 10x + -10x Combine like terms: 3x + -10x = -7x 4 + -7x = -10 + 10x + -10x Combine like terms: 10x + -10x = 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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