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Simplifying 6(4 + -1x) + -55 = -5(2x + 3) (4 * 6 + -1x * 6) + -55 = -5(2x + 3) (24 + -6x) + -55 = -5(2x + 3) Reorder the terms: 24 + -55 + -6x = -5(2x + 3) Combine like terms: 24 + -55 = -31 -31 + -6x = -5(2x + 3) Reorder the terms: -31 + -6x = -5(3 + 2x) -31 + -6x = (3 * -5 + 2x * -5) -31 + -6x = (-15 + -10x) Solving -31 + -6x = -15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -31 + -6x + 10x = -15 + -10x + 10x Combine like terms: -6x + 10x = 4x -31 + 4x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 -31 + 4x = -15 + 0 -31 + 4x = -15 Add '31' to each side of the equation. -31 + 31 + 4x = -15 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = -15 + 31 4x = -15 + 31 Combine like terms: -15 + 31 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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