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Simplifying 7x + -3 = 2x + -8(-7x + -6) Reorder the terms: -3 + 7x = 2x + -8(-7x + -6) Reorder the terms: -3 + 7x = 2x + -8(-6 + -7x) -3 + 7x = 2x + (-6 * -8 + -7x * -8) -3 + 7x = 2x + (48 + 56x) Reorder the terms: -3 + 7x = 48 + 2x + 56x Combine like terms: 2x + 56x = 58x -3 + 7x = 48 + 58x Solving -3 + 7x = 48 + 58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58x' to each side of the equation. -3 + 7x + -58x = 48 + 58x + -58x Combine like terms: 7x + -58x = -51x -3 + -51x = 48 + 58x + -58x Combine like terms: 58x + -58x = 0 -3 + -51x = 48 + 0 -3 + -51x = 48 Add '3' to each side of the equation. -3 + 3 + -51x = 48 + 3 Combine like terms: -3 + 3 = 0 0 + -51x = 48 + 3 -51x = 48 + 3 Combine like terms: 48 + 3 = 51 -51x = 51 Divide each side by '-51'. x = -1 Simplifying x = -1
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