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Simplifying 2x + -3 + 2(x + -2) = -2(x + 1) + 7 Reorder the terms: 2x + -3 + 2(-2 + x) = -2(x + 1) + 7 2x + -3 + (-2 * 2 + x * 2) = -2(x + 1) + 7 2x + -3 + (-4 + 2x) = -2(x + 1) + 7 Reorder the terms: -3 + -4 + 2x + 2x = -2(x + 1) + 7 Combine like terms: -3 + -4 = -7 -7 + 2x + 2x = -2(x + 1) + 7 Combine like terms: 2x + 2x = 4x -7 + 4x = -2(x + 1) + 7 Reorder the terms: -7 + 4x = -2(1 + x) + 7 -7 + 4x = (1 * -2 + x * -2) + 7 -7 + 4x = (-2 + -2x) + 7 Reorder the terms: -7 + 4x = -2 + 7 + -2x Combine like terms: -2 + 7 = 5 -7 + 4x = 5 + -2x Solving -7 + 4x = 5 + -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 = 5 + -2x + 2x Combine like terms: 4x + 2x = 6x -7 + 6x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 6x = 5 + 0 -7 + 6x = 5 Add '7' to each side of the equation. -7 + 7 + 6x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 5 + 7 6x = 5 + 7 Combine like terms: 5 + 7 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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