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