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Simplifying 3(x + -2) + 5 = 4(x + 2) + -3 Reorder the terms: 3(-2 + x) + 5 = 4(x + 2) + -3 (-2 * 3 + x * 3) + 5 = 4(x + 2) + -3 (-6 + 3x) + 5 = 4(x + 2) + -3 Reorder the terms: -6 + 5 + 3x = 4(x + 2) + -3 Combine like terms: -6 + 5 = -1 -1 + 3x = 4(x + 2) + -3 Reorder the terms: -1 + 3x = 4(2 + x) + -3 -1 + 3x = (2 * 4 + x * 4) + -3 -1 + 3x = (8 + 4x) + -3 Reorder the terms: -1 + 3x = 8 + -3 + 4x Combine like terms: 8 + -3 = 5 -1 + 3x = 5 + 4x Solving -1 + 3x = 5 + 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 = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x -1 + -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -1x = 5 + 0 -1 + -1x = 5 Add '1' to each side of the equation. -1 + 1 + -1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 5 + 1 -1x = 5 + 1 Combine like terms: 5 + 1 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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