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Simplifying 3(2x + -7) = 2(8x + 2) Reorder the terms: 3(-7 + 2x) = 2(8x + 2) (-7 * 3 + 2x * 3) = 2(8x + 2) (-21 + 6x) = 2(8x + 2) Reorder the terms: -21 + 6x = 2(2 + 8x) -21 + 6x = (2 * 2 + 8x * 2) -21 + 6x = (4 + 16x) Solving -21 + 6x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -21 + 6x + -16x = 4 + 16x + -16x Combine like terms: 6x + -16x = -10x -21 + -10x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -21 + -10x = 4 + 0 -21 + -10x = 4 Add '21' to each side of the equation. -21 + 21 + -10x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = 4 + 21 -10x = 4 + 21 Combine like terms: 4 + 21 = 25 -10x = 25 Divide each side by '-10'. x = -2.5 Simplifying x = -2.5
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