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Simplifying (x + -3) * 2 = (2x + -7) * 2 Reorder the terms: (-3 + x) * 2 = (2x + -7) * 2 Reorder the terms for easier multiplication: 2(-3 + x) = (2x + -7) * 2 (-3 * 2 + x * 2) = (2x + -7) * 2 (-6 + 2x) = (2x + -7) * 2 Reorder the terms: -6 + 2x = (-7 + 2x) * 2 Reorder the terms for easier multiplication: -6 + 2x = 2(-7 + 2x) -6 + 2x = (-7 * 2 + 2x * 2) -6 + 2x = (-14 + 4x) Solving -6 + 2x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 2x + -4x = -14 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = -14 + 0 -6 + -2x = -14 Add '6' to each side of the equation. -6 + 6 + -2x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -14 + 6 -2x = -14 + 6 Combine like terms: -14 + 6 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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