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Simplifying -3x + 6(7 + 1x) = 11x + -2(-21 + -1x) -3x + (7 * 6 + 1x * 6) = 11x + -2(-21 + -1x) -3x + (42 + 6x) = 11x + -2(-21 + -1x) Reorder the terms: 42 + -3x + 6x = 11x + -2(-21 + -1x) Combine like terms: -3x + 6x = 3x 42 + 3x = 11x + -2(-21 + -1x) 42 + 3x = 11x + (-21 * -2 + -1x * -2) 42 + 3x = 11x + (42 + 2x) Reorder the terms: 42 + 3x = 42 + 11x + 2x Combine like terms: 11x + 2x = 13x 42 + 3x = 42 + 13x Add '-42' to each side of the equation. 42 + -42 + 3x = 42 + -42 + 13x Combine like terms: 42 + -42 = 0 0 + 3x = 42 + -42 + 13x 3x = 42 + -42 + 13x Combine like terms: 42 + -42 = 0 3x = 0 + 13x 3x = 13x Solving 3x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 3x + -13x = 13x + -13x Combine like terms: 3x + -13x = -10x -10x = 13x + -13x Combine like terms: 13x + -13x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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