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Simplifying 4(x + -2) + -1 = 3x + -7 Reorder the terms: 4(-2 + x) + -1 = 3x + -7 (-2 * 4 + x * 4) + -1 = 3x + -7 (-8 + 4x) + -1 = 3x + -7 Reorder the terms: -8 + -1 + 4x = 3x + -7 Combine like terms: -8 + -1 = -9 -9 + 4x = 3x + -7 Reorder the terms: -9 + 4x = -7 + 3x Solving -9 + 4x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 4x + -3x = -7 + 3x + -3x Combine like terms: 4x + -3x = 1x -9 + 1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 1x = -7 + 0 -9 + 1x = -7 Add '9' to each side of the equation. -9 + 9 + 1x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -7 + 9 1x = -7 + 9 Combine like terms: -7 + 9 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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