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Simplifying 3(2x + -7) = 5(3x + -1) + -2(4x + -8) Reorder the terms: 3(-7 + 2x) = 5(3x + -1) + -2(4x + -8) (-7 * 3 + 2x * 3) = 5(3x + -1) + -2(4x + -8) (-21 + 6x) = 5(3x + -1) + -2(4x + -8) Reorder the terms: -21 + 6x = 5(-1 + 3x) + -2(4x + -8) -21 + 6x = (-1 * 5 + 3x * 5) + -2(4x + -8) -21 + 6x = (-5 + 15x) + -2(4x + -8) Reorder the terms: -21 + 6x = -5 + 15x + -2(-8 + 4x) -21 + 6x = -5 + 15x + (-8 * -2 + 4x * -2) -21 + 6x = -5 + 15x + (16 + -8x) Reorder the terms: -21 + 6x = -5 + 16 + 15x + -8x Combine like terms: -5 + 16 = 11 -21 + 6x = 11 + 15x + -8x Combine like terms: 15x + -8x = 7x -21 + 6x = 11 + 7x Solving -21 + 6x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -21 + 6x + -7x = 11 + 7x + -7x Combine like terms: 6x + -7x = -1x -21 + -1x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -1x = 11 + 0 -21 + -1x = 11 Add '21' to each side of the equation. -21 + 21 + -1x = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 11 + 21 -1x = 11 + 21 Combine like terms: 11 + 21 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32
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