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Simplifying 3x + 5 + -6x = -4 + -3(3x + 1) Reorder the terms: 5 + 3x + -6x = -4 + -3(3x + 1) Combine like terms: 3x + -6x = -3x 5 + -3x = -4 + -3(3x + 1) Reorder the terms: 5 + -3x = -4 + -3(1 + 3x) 5 + -3x = -4 + (1 * -3 + 3x * -3) 5 + -3x = -4 + (-3 + -9x) Combine like terms: -4 + -3 = -7 5 + -3x = -7 + -9x Solving 5 + -3x = -7 + -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 + -3x + 9x = -7 + -9x + 9x Combine like terms: -3x + 9x = 6x 5 + 6x = -7 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 6x = -7 + 0 5 + 6x = -7 Add '-5' to each side of the equation. 5 + -5 + 6x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = -7 + -5 6x = -7 + -5 Combine like terms: -7 + -5 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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