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Simplifying -9(x + 4) + 3x + 7 = 7x + 6 Reorder the terms: -9(4 + x) + 3x + 7 = 7x + 6 (4 * -9 + x * -9) + 3x + 7 = 7x + 6 (-36 + -9x) + 3x + 7 = 7x + 6 Reorder the terms: -36 + 7 + -9x + 3x = 7x + 6 Combine like terms: -36 + 7 = -29 -29 + -9x + 3x = 7x + 6 Combine like terms: -9x + 3x = -6x -29 + -6x = 7x + 6 Reorder the terms: -29 + -6x = 6 + 7x Solving -29 + -6x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -29 + -6x + -7x = 6 + 7x + -7x Combine like terms: -6x + -7x = -13x -29 + -13x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -29 + -13x = 6 + 0 -29 + -13x = 6 Add '29' to each side of the equation. -29 + 29 + -13x = 6 + 29 Combine like terms: -29 + 29 = 0 0 + -13x = 6 + 29 -13x = 6 + 29 Combine like terms: 6 + 29 = 35 -13x = 35 Divide each side by '-13'. x = -2.692307692 Simplifying x = -2.692307692
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