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Simplifying 7 + -1(8x + -3) = -6x Reorder the terms: 7 + -1(-3 + 8x) = -6x 7 + (-3 * -1 + 8x * -1) = -6x 7 + (3 + -8x) = -6x Combine like terms: 7 + 3 = 10 10 + -8x = -6x Solving 10 + -8x = -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. 10 + -8x + 6x = -6x + 6x Combine like terms: -8x + 6x = -2x 10 + -2x = -6x + 6x Combine like terms: -6x + 6x = 0 10 + -2x = 0 Add '-10' to each side of the equation. 10 + -10 + -2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 0 + -10 -2x = 0 + -10 Combine like terms: 0 + -10 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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