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Simplifying 5x + -7 + -2x = 2(4x + -6) Reorder the terms: -7 + 5x + -2x = 2(4x + -6) Combine like terms: 5x + -2x = 3x -7 + 3x = 2(4x + -6) Reorder the terms: -7 + 3x = 2(-6 + 4x) -7 + 3x = (-6 * 2 + 4x * 2) -7 + 3x = (-12 + 8x) Solving -7 + 3x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 3x + -8x = -12 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = -12 + 0 -7 + -5x = -12 Add '7' to each side of the equation. -7 + 7 + -5x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -12 + 7 -5x = -12 + 7 Combine like terms: -12 + 7 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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