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Simplifying -10x + 6 = -7(x + 3) + -9 Reorder the terms: 6 + -10x = -7(x + 3) + -9 Reorder the terms: 6 + -10x = -7(3 + x) + -9 6 + -10x = (3 * -7 + x * -7) + -9 6 + -10x = (-21 + -7x) + -9 Reorder the terms: 6 + -10x = -21 + -9 + -7x Combine like terms: -21 + -9 = -30 6 + -10x = -30 + -7x Solving 6 + -10x = -30 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + -10x + 7x = -30 + -7x + 7x Combine like terms: -10x + 7x = -3x 6 + -3x = -30 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + -3x = -30 + 0 6 + -3x = -30 Add '-6' to each side of the equation. 6 + -6 + -3x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -30 + -6 -3x = -30 + -6 Combine like terms: -30 + -6 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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