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Simplifying 4(x + -5) + -1(x + -2) = 7 + -2x Reorder the terms: 4(-5 + x) + -1(x + -2) = 7 + -2x (-5 * 4 + x * 4) + -1(x + -2) = 7 + -2x (-20 + 4x) + -1(x + -2) = 7 + -2x Reorder the terms: -20 + 4x + -1(-2 + x) = 7 + -2x -20 + 4x + (-2 * -1 + x * -1) = 7 + -2x -20 + 4x + (2 + -1x) = 7 + -2x Reorder the terms: -20 + 2 + 4x + -1x = 7 + -2x Combine like terms: -20 + 2 = -18 -18 + 4x + -1x = 7 + -2x Combine like terms: 4x + -1x = 3x -18 + 3x = 7 + -2x Solving -18 + 3x = 7 + -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. -18 + 3x + 2x = 7 + -2x + 2x Combine like terms: 3x + 2x = 5x -18 + 5x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 5x = 7 + 0 -18 + 5x = 7 Add '18' to each side of the equation. -18 + 18 + 5x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 7 + 18 5x = 7 + 18 Combine like terms: 7 + 18 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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