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Simplifying 5(1 + -2x) = -7 + -6x (1 * 5 + -2x * 5) = -7 + -6x (5 + -10x) = -7 + -6x Solving 5 + -10x = -7 + -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. 5 + -10x + 6x = -7 + -6x + 6x Combine like terms: -10x + 6x = -4x 5 + -4x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + -4x = -7 + 0 5 + -4x = -7 Add '-5' to each side of the equation. 5 + -5 + -4x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -7 + -5 -4x = -7 + -5 Combine like terms: -7 + -5 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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