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Simplifying 5(x + -4) + 7 = x + 1 + 5x + -14 Reorder the terms: 5(-4 + x) + 7 = x + 1 + 5x + -14 (-4 * 5 + x * 5) + 7 = x + 1 + 5x + -14 (-20 + 5x) + 7 = x + 1 + 5x + -14 Reorder the terms: -20 + 7 + 5x = x + 1 + 5x + -14 Combine like terms: -20 + 7 = -13 -13 + 5x = x + 1 + 5x + -14 Reorder the terms: -13 + 5x = 1 + -14 + x + 5x Combine like terms: 1 + -14 = -13 -13 + 5x = -13 + x + 5x Combine like terms: x + 5x = 6x -13 + 5x = -13 + 6x Add '13' to each side of the equation. -13 + 13 + 5x = -13 + 13 + 6x Combine like terms: -13 + 13 = 0 0 + 5x = -13 + 13 + 6x 5x = -13 + 13 + 6x Combine like terms: -13 + 13 = 0 5x = 0 + 6x 5x = 6x Solving 5x = 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. 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x -1x = 6x + -6x Combine like terms: 6x + -6x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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