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Simplifying 7 + 6(x + -2) = 1 + -9(x + -3) Reorder the terms: 7 + 6(-2 + x) = 1 + -9(x + -3) 7 + (-2 * 6 + x * 6) = 1 + -9(x + -3) 7 + (-12 + 6x) = 1 + -9(x + -3) Combine like terms: 7 + -12 = -5 -5 + 6x = 1 + -9(x + -3) Reorder the terms: -5 + 6x = 1 + -9(-3 + x) -5 + 6x = 1 + (-3 * -9 + x * -9) -5 + 6x = 1 + (27 + -9x) Combine like terms: 1 + 27 = 28 -5 + 6x = 28 + -9x Solving -5 + 6x = 28 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -5 + 6x + 9x = 28 + -9x + 9x Combine like terms: 6x + 9x = 15x -5 + 15x = 28 + -9x + 9x Combine like terms: -9x + 9x = 0 -5 + 15x = 28 + 0 -5 + 15x = 28 Add '5' to each side of the equation. -5 + 5 + 15x = 28 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = 28 + 5 15x = 28 + 5 Combine like terms: 28 + 5 = 33 15x = 33 Divide each side by '15'. x = 2.2 Simplifying x = 2.2
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