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Simplifying 16x + -3(4x + 7) = 6x + -1(4x + 15) Reorder the terms: 16x + -3(7 + 4x) = 6x + -1(4x + 15) 16x + (7 * -3 + 4x * -3) = 6x + -1(4x + 15) 16x + (-21 + -12x) = 6x + -1(4x + 15) Reorder the terms: -21 + 16x + -12x = 6x + -1(4x + 15) Combine like terms: 16x + -12x = 4x -21 + 4x = 6x + -1(4x + 15) Reorder the terms: -21 + 4x = 6x + -1(15 + 4x) -21 + 4x = 6x + (15 * -1 + 4x * -1) -21 + 4x = 6x + (-15 + -4x) Reorder the terms: -21 + 4x = -15 + 6x + -4x Combine like terms: 6x + -4x = 2x -21 + 4x = -15 + 2x Solving -21 + 4x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 4x + -2x = -15 + 2x + -2x Combine like terms: 4x + -2x = 2x -21 + 2x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 2x = -15 + 0 -21 + 2x = -15 Add '21' to each side of the equation. -21 + 21 + 2x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -15 + 21 2x = -15 + 21 Combine like terms: -15 + 21 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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