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Simplifying 3(6x + -4) + -4(x + 7) = 6x + -96 + x Reorder the terms: 3(-4 + 6x) + -4(x + 7) = 6x + -96 + x (-4 * 3 + 6x * 3) + -4(x + 7) = 6x + -96 + x (-12 + 18x) + -4(x + 7) = 6x + -96 + x Reorder the terms: -12 + 18x + -4(7 + x) = 6x + -96 + x -12 + 18x + (7 * -4 + x * -4) = 6x + -96 + x -12 + 18x + (-28 + -4x) = 6x + -96 + x Reorder the terms: -12 + -28 + 18x + -4x = 6x + -96 + x Combine like terms: -12 + -28 = -40 -40 + 18x + -4x = 6x + -96 + x Combine like terms: 18x + -4x = 14x -40 + 14x = 6x + -96 + x Reorder the terms: -40 + 14x = -96 + 6x + x Combine like terms: 6x + x = 7x -40 + 14x = -96 + 7x Solving -40 + 14x = -96 + 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. -40 + 14x + -7x = -96 + 7x + -7x Combine like terms: 14x + -7x = 7x -40 + 7x = -96 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 7x = -96 + 0 -40 + 7x = -96 Add '40' to each side of the equation. -40 + 40 + 7x = -96 + 40 Combine like terms: -40 + 40 = 0 0 + 7x = -96 + 40 7x = -96 + 40 Combine like terms: -96 + 40 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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