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Simplifying 6x + -3(4x + 7) = 6x + -1(2x + 21) Reorder the terms: 6x + -3(7 + 4x) = 6x + -1(2x + 21) 6x + (7 * -3 + 4x * -3) = 6x + -1(2x + 21) 6x + (-21 + -12x) = 6x + -1(2x + 21) Reorder the terms: -21 + 6x + -12x = 6x + -1(2x + 21) Combine like terms: 6x + -12x = -6x -21 + -6x = 6x + -1(2x + 21) Reorder the terms: -21 + -6x = 6x + -1(21 + 2x) -21 + -6x = 6x + (21 * -1 + 2x * -1) -21 + -6x = 6x + (-21 + -2x) Reorder the terms: -21 + -6x = -21 + 6x + -2x Combine like terms: 6x + -2x = 4x -21 + -6x = -21 + 4x Add '21' to each side of the equation. -21 + 21 + -6x = -21 + 21 + 4x Combine like terms: -21 + 21 = 0 0 + -6x = -21 + 21 + 4x -6x = -21 + 21 + 4x Combine like terms: -21 + 21 = 0 -6x = 0 + 4x -6x = 4x Solving -6x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6x + -4x = 4x + -4x Combine like terms: -6x + -4x = -10x -10x = 4x + -4x Combine like terms: 4x + -4x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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