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Simplifying 16x + -3(4x + 7) = 6x + (2x + 21) Reorder the terms: 16x + -3(7 + 4x) = 6x + (2x + 21) 16x + (7 * -3 + 4x * -3) = 6x + (2x + 21) 16x + (-21 + -12x) = 6x + (2x + 21) Reorder the terms: -21 + 16x + -12x = 6x + (2x + 21) Combine like terms: 16x + -12x = 4x -21 + 4x = 6x + (2x + 21) Reorder the terms: -21 + 4x = 6x + (21 + 2x) Remove parenthesis around (21 + 2x) -21 + 4x = 6x + 21 + 2x Reorder the terms: -21 + 4x = 21 + 6x + 2x Combine like terms: 6x + 2x = 8x -21 + 4x = 21 + 8x Solving -21 + 4x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 4x + -8x = 21 + 8x + -8x Combine like terms: 4x + -8x = -4x -21 + -4x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -4x = 21 + 0 -21 + -4x = 21 Add '21' to each side of the equation. -21 + 21 + -4x = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 21 + 21 -4x = 21 + 21 Combine like terms: 21 + 21 = 42 -4x = 42 Divide each side by '-4'. x = -10.5 Simplifying x = -10.5
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