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Simplifying 3(x + -2) + 5 = 4(2 + -1x) + -2 Reorder the terms: 3(-2 + x) + 5 = 4(2 + -1x) + -2 (-2 * 3 + x * 3) + 5 = 4(2 + -1x) + -2 (-6 + 3x) + 5 = 4(2 + -1x) + -2 Reorder the terms: -6 + 5 + 3x = 4(2 + -1x) + -2 Combine like terms: -6 + 5 = -1 -1 + 3x = 4(2 + -1x) + -2 -1 + 3x = (2 * 4 + -1x * 4) + -2 -1 + 3x = (8 + -4x) + -2 Reorder the terms: -1 + 3x = 8 + -2 + -4x Combine like terms: 8 + -2 = 6 -1 + 3x = 6 + -4x Solving -1 + 3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x -1 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 7x = 6 + 0 -1 + 7x = 6 Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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