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Simplifying 7x + -6 = 6(x + -8) + -3 Reorder the terms: -6 + 7x = 6(x + -8) + -3 Reorder the terms: -6 + 7x = 6(-8 + x) + -3 -6 + 7x = (-8 * 6 + x * 6) + -3 -6 + 7x = (-48 + 6x) + -3 Reorder the terms: -6 + 7x = -48 + -3 + 6x Combine like terms: -48 + -3 = -51 -6 + 7x = -51 + 6x Solving -6 + 7x = -51 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 7x + -6x = -51 + 6x + -6x Combine like terms: 7x + -6x = 1x -6 + 1x = -51 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 1x = -51 + 0 -6 + 1x = -51 Add '6' to each side of the equation. -6 + 6 + 1x = -51 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -51 + 6 1x = -51 + 6 Combine like terms: -51 + 6 = -45 1x = -45 Divide each side by '1'. x = -45 Simplifying x = -45
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