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Simplifying 3 + -4(6x + -10) = 6x + 13 Reorder the terms: 3 + -4(-10 + 6x) = 6x + 13 3 + (-10 * -4 + 6x * -4) = 6x + 13 3 + (40 + -24x) = 6x + 13 Combine like terms: 3 + 40 = 43 43 + -24x = 6x + 13 Reorder the terms: 43 + -24x = 13 + 6x Solving 43 + -24x = 13 + 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. 43 + -24x + -6x = 13 + 6x + -6x Combine like terms: -24x + -6x = -30x 43 + -30x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + -30x = 13 + 0 43 + -30x = 13 Add '-43' to each side of the equation. 43 + -43 + -30x = 13 + -43 Combine like terms: 43 + -43 = 0 0 + -30x = 13 + -43 -30x = 13 + -43 Combine like terms: 13 + -43 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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