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Simplifying 7 + 9(x + -4) = 7 + -6(x + -2) Reorder the terms: 7 + 9(-4 + x) = 7 + -6(x + -2) 7 + (-4 * 9 + x * 9) = 7 + -6(x + -2) 7 + (-36 + 9x) = 7 + -6(x + -2) Combine like terms: 7 + -36 = -29 -29 + 9x = 7 + -6(x + -2) Reorder the terms: -29 + 9x = 7 + -6(-2 + x) -29 + 9x = 7 + (-2 * -6 + x * -6) -29 + 9x = 7 + (12 + -6x) Combine like terms: 7 + 12 = 19 -29 + 9x = 19 + -6x Solving -29 + 9x = 19 + -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. -29 + 9x + 6x = 19 + -6x + 6x Combine like terms: 9x + 6x = 15x -29 + 15x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 -29 + 15x = 19 + 0 -29 + 15x = 19 Add '29' to each side of the equation. -29 + 29 + 15x = 19 + 29 Combine like terms: -29 + 29 = 0 0 + 15x = 19 + 29 15x = 19 + 29 Combine like terms: 19 + 29 = 48 15x = 48 Divide each side by '15'. x = 3.2 Simplifying x = 3.2
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