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Simplifying 3(4x + -8) + 2(x + -7) = 4(3x + -8) Reorder the terms: 3(-8 + 4x) + 2(x + -7) = 4(3x + -8) (-8 * 3 + 4x * 3) + 2(x + -7) = 4(3x + -8) (-24 + 12x) + 2(x + -7) = 4(3x + -8) Reorder the terms: -24 + 12x + 2(-7 + x) = 4(3x + -8) -24 + 12x + (-7 * 2 + x * 2) = 4(3x + -8) -24 + 12x + (-14 + 2x) = 4(3x + -8) Reorder the terms: -24 + -14 + 12x + 2x = 4(3x + -8) Combine like terms: -24 + -14 = -38 -38 + 12x + 2x = 4(3x + -8) Combine like terms: 12x + 2x = 14x -38 + 14x = 4(3x + -8) Reorder the terms: -38 + 14x = 4(-8 + 3x) -38 + 14x = (-8 * 4 + 3x * 4) -38 + 14x = (-32 + 12x) Solving -38 + 14x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -38 + 14x + -12x = -32 + 12x + -12x Combine like terms: 14x + -12x = 2x -38 + 2x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -38 + 2x = -32 + 0 -38 + 2x = -32 Add '38' to each side of the equation. -38 + 38 + 2x = -32 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -32 + 38 2x = -32 + 38 Combine like terms: -32 + 38 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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