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Simplifying (5 + x) * 3 + -4(x + 7) = 9x + (7 + -1x) * 4 Reorder the terms for easier multiplication: 3(5 + x) + -4(x + 7) = 9x + (7 + -1x) * 4 (5 * 3 + x * 3) + -4(x + 7) = 9x + (7 + -1x) * 4 (15 + 3x) + -4(x + 7) = 9x + (7 + -1x) * 4 Reorder the terms: 15 + 3x + -4(7 + x) = 9x + (7 + -1x) * 4 15 + 3x + (7 * -4 + x * -4) = 9x + (7 + -1x) * 4 15 + 3x + (-28 + -4x) = 9x + (7 + -1x) * 4 Reorder the terms: 15 + -28 + 3x + -4x = 9x + (7 + -1x) * 4 Combine like terms: 15 + -28 = -13 -13 + 3x + -4x = 9x + (7 + -1x) * 4 Combine like terms: 3x + -4x = -1x -13 + -1x = 9x + (7 + -1x) * 4 Reorder the terms for easier multiplication: -13 + -1x = 9x + 4(7 + -1x) -13 + -1x = 9x + (7 * 4 + -1x * 4) -13 + -1x = 9x + (28 + -4x) Reorder the terms: -13 + -1x = 28 + 9x + -4x Combine like terms: 9x + -4x = 5x -13 + -1x = 28 + 5x Solving -13 + -1x = 28 + 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. -13 + -1x + -5x = 28 + 5x + -5x Combine like terms: -1x + -5x = -6x -13 + -6x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -6x = 28 + 0 -13 + -6x = 28 Add '13' to each side of the equation. -13 + 13 + -6x = 28 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 28 + 13 -6x = 28 + 13 Combine like terms: 28 + 13 = 41 -6x = 41 Divide each side by '-6'. x = -6.833333333 Simplifying x = -6.833333333
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