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Simplifying 7(3x + -4) + -4(6x + 5) = -55 Reorder the terms: 7(-4 + 3x) + -4(6x + 5) = -55 (-4 * 7 + 3x * 7) + -4(6x + 5) = -55 (-28 + 21x) + -4(6x + 5) = -55 Reorder the terms: -28 + 21x + -4(5 + 6x) = -55 -28 + 21x + (5 * -4 + 6x * -4) = -55 -28 + 21x + (-20 + -24x) = -55 Reorder the terms: -28 + -20 + 21x + -24x = -55 Combine like terms: -28 + -20 = -48 -48 + 21x + -24x = -55 Combine like terms: 21x + -24x = -3x -48 + -3x = -55 Solving -48 + -3x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -3x = -55 + 48 Combine like terms: -48 + 48 = 0 0 + -3x = -55 + 48 -3x = -55 + 48 Combine like terms: -55 + 48 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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