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