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Simplifying (2x + -5) * 2 + -1(x + 1) * 2 = 7x Reorder the terms: (-5 + 2x) * 2 + -1(x + 1) * 2 = 7x Reorder the terms for easier multiplication: 2(-5 + 2x) + -1(x + 1) * 2 = 7x (-5 * 2 + 2x * 2) + -1(x + 1) * 2 = 7x (-10 + 4x) + -1(x + 1) * 2 = 7x Reorder the terms: -10 + 4x + -1(1 + x) * 2 = 7x Reorder the terms for easier multiplication: -10 + 4x + -1 * 2(1 + x) = 7x Multiply -1 * 2 -10 + 4x + -2(1 + x) = 7x -10 + 4x + (1 * -2 + x * -2) = 7x -10 + 4x + (-2 + -2x) = 7x Reorder the terms: -10 + -2 + 4x + -2x = 7x Combine like terms: -10 + -2 = -12 -12 + 4x + -2x = 7x Combine like terms: 4x + -2x = 2x -12 + 2x = 7x Solving -12 + 2x = 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. -12 + 2x + -7x = 7x + -7x Combine like terms: 2x + -7x = -5x -12 + -5x = 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -5x = 0 Add '12' to each side of the equation. -12 + 12 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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