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Simplifying 5(x + -2) + -4 = 6x + 7 Reorder the terms: 5(-2 + x) + -4 = 6x + 7 (-2 * 5 + x * 5) + -4 = 6x + 7 (-10 + 5x) + -4 = 6x + 7 Reorder the terms: -10 + -4 + 5x = 6x + 7 Combine like terms: -10 + -4 = -14 -14 + 5x = 6x + 7 Reorder the terms: -14 + 5x = 7 + 6x Solving -14 + 5x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 5x + -6x = 7 + 6x + -6x Combine like terms: 5x + -6x = -1x -14 + -1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -1x = 7 + 0 -14 + -1x = 7 Add '14' to each side of the equation. -14 + 14 + -1x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 7 + 14 -1x = 7 + 14 Combine like terms: 7 + 14 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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