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Simplifying 4(x + -5) + 9x = 7(2x + 1) Reorder the terms: 4(-5 + x) + 9x = 7(2x + 1) (-5 * 4 + x * 4) + 9x = 7(2x + 1) (-20 + 4x) + 9x = 7(2x + 1) Combine like terms: 4x + 9x = 13x -20 + 13x = 7(2x + 1) Reorder the terms: -20 + 13x = 7(1 + 2x) -20 + 13x = (1 * 7 + 2x * 7) -20 + 13x = (7 + 14x) Solving -20 + 13x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -20 + 13x + -14x = 7 + 14x + -14x Combine like terms: 13x + -14x = -1x -20 + -1x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -20 + -1x = 7 + 0 -20 + -1x = 7 Add '20' to each side of the equation. -20 + 20 + -1x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 7 + 20 -1x = 7 + 20 Combine like terms: 7 + 20 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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