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Simplifying 6x + -5 = -3(x + 7) + 15 Reorder the terms: -5 + 6x = -3(x + 7) + 15 Reorder the terms: -5 + 6x = -3(7 + x) + 15 -5 + 6x = (7 * -3 + x * -3) + 15 -5 + 6x = (-21 + -3x) + 15 Reorder the terms: -5 + 6x = -21 + 15 + -3x Combine like terms: -21 + 15 = -6 -5 + 6x = -6 + -3x Solving -5 + 6x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 6x + 3x = -6 + -3x + 3x Combine like terms: 6x + 3x = 9x -5 + 9x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 9x = -6 + 0 -5 + 9x = -6 Add '5' to each side of the equation. -5 + 5 + 9x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = -6 + 5 9x = -6 + 5 Combine like terms: -6 + 5 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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