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Simplifying 5x + -3(x + -3) = -6 + -4x + 7 Reorder the terms: 5x + -3(-3 + x) = -6 + -4x + 7 5x + (-3 * -3 + x * -3) = -6 + -4x + 7 5x + (9 + -3x) = -6 + -4x + 7 Reorder the terms: 9 + 5x + -3x = -6 + -4x + 7 Combine like terms: 5x + -3x = 2x 9 + 2x = -6 + -4x + 7 Reorder the terms: 9 + 2x = -6 + 7 + -4x Combine like terms: -6 + 7 = 1 9 + 2x = 1 + -4x Solving 9 + 2x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 2x + 4x = 1 + -4x + 4x Combine like terms: 2x + 4x = 6x 9 + 6x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 6x = 1 + 0 9 + 6x = 1 Add '-9' to each side of the equation. 9 + -9 + 6x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 1 + -9 6x = 1 + -9 Combine like terms: 1 + -9 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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