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Simplifying 5 + -6(7 + -2x) = 15x + 35 5 + (7 * -6 + -2x * -6) = 15x + 35 5 + (-42 + 12x) = 15x + 35 Combine like terms: 5 + -42 = -37 -37 + 12x = 15x + 35 Reorder the terms: -37 + 12x = 35 + 15x Solving -37 + 12x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -37 + 12x + -15x = 35 + 15x + -15x Combine like terms: 12x + -15x = -3x -37 + -3x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 -37 + -3x = 35 + 0 -37 + -3x = 35 Add '37' to each side of the equation. -37 + 37 + -3x = 35 + 37 Combine like terms: -37 + 37 = 0 0 + -3x = 35 + 37 -3x = 35 + 37 Combine like terms: 35 + 37 = 72 -3x = 72 Divide each side by '-3'. x = -24 Simplifying x = -24
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