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Simplifying 3 + 2(x + -5) = 3(2x + -11) + -2 Reorder the terms: 3 + 2(-5 + x) = 3(2x + -11) + -2 3 + (-5 * 2 + x * 2) = 3(2x + -11) + -2 3 + (-10 + 2x) = 3(2x + -11) + -2 Combine like terms: 3 + -10 = -7 -7 + 2x = 3(2x + -11) + -2 Reorder the terms: -7 + 2x = 3(-11 + 2x) + -2 -7 + 2x = (-11 * 3 + 2x * 3) + -2 -7 + 2x = (-33 + 6x) + -2 Reorder the terms: -7 + 2x = -33 + -2 + 6x Combine like terms: -33 + -2 = -35 -7 + 2x = -35 + 6x Solving -7 + 2x = -35 + 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. -7 + 2x + -6x = -35 + 6x + -6x Combine like terms: 2x + -6x = -4x -7 + -4x = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -4x = -35 + 0 -7 + -4x = -35 Add '7' to each side of the equation. -7 + 7 + -4x = -35 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -35 + 7 -4x = -35 + 7 Combine like terms: -35 + 7 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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