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Simplifying -2x + -3 + 2(x + 1) = 7x + 2 Reorder the terms: -2x + -3 + 2(1 + x) = 7x + 2 -2x + -3 + (1 * 2 + x * 2) = 7x + 2 -2x + -3 + (2 + 2x) = 7x + 2 Reorder the terms: -3 + 2 + -2x + 2x = 7x + 2 Combine like terms: -3 + 2 = -1 -1 + -2x + 2x = 7x + 2 Combine like terms: -2x + 2x = 0 -1 + 0 = 7x + 2 -1 = 7x + 2 Reorder the terms: -1 = 2 + 7x Solving -1 = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + -7x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -7x = 2 + 0 -1 + -7x = 2 Add '1' to each side of the equation. -1 + 1 + -7x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 2 + 1 -7x = 2 + 1 Combine like terms: 2 + 1 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286
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