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Simplifying 1 + -4(3x + -5) = x + -6(2x + 7) Reorder the terms: 1 + -4(-5 + 3x) = x + -6(2x + 7) 1 + (-5 * -4 + 3x * -4) = x + -6(2x + 7) 1 + (20 + -12x) = x + -6(2x + 7) Combine like terms: 1 + 20 = 21 21 + -12x = x + -6(2x + 7) Reorder the terms: 21 + -12x = x + -6(7 + 2x) 21 + -12x = x + (7 * -6 + 2x * -6) 21 + -12x = x + (-42 + -12x) Reorder the terms: 21 + -12x = -42 + x + -12x Combine like terms: x + -12x = -11x 21 + -12x = -42 + -11x Solving 21 + -12x = -42 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 21 + -12x + 11x = -42 + -11x + 11x Combine like terms: -12x + 11x = -1x 21 + -1x = -42 + -11x + 11x Combine like terms: -11x + 11x = 0 21 + -1x = -42 + 0 21 + -1x = -42 Add '-21' to each side of the equation. 21 + -21 + -1x = -42 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -42 + -21 -1x = -42 + -21 Combine like terms: -42 + -21 = -63 -1x = -63 Divide each side by '-1'. x = 63 Simplifying x = 63
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