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Simplifying 3(x + -2) + 7 = 4x + 5 Reorder the terms: 3(-2 + x) + 7 = 4x + 5 (-2 * 3 + x * 3) + 7 = 4x + 5 (-6 + 3x) + 7 = 4x + 5 Reorder the terms: -6 + 7 + 3x = 4x + 5 Combine like terms: -6 + 7 = 1 1 + 3x = 4x + 5 Reorder the terms: 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 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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