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Simplifying 6(x + -7) = 5(2x + -11) Reorder the terms: 6(-7 + x) = 5(2x + -11) (-7 * 6 + x * 6) = 5(2x + -11) (-42 + 6x) = 5(2x + -11) Reorder the terms: -42 + 6x = 5(-11 + 2x) -42 + 6x = (-11 * 5 + 2x * 5) -42 + 6x = (-55 + 10x) Solving -42 + 6x = -55 + 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. -42 + 6x + -10x = -55 + 10x + -10x Combine like terms: 6x + -10x = -4x -42 + -4x = -55 + 10x + -10x Combine like terms: 10x + -10x = 0 -42 + -4x = -55 + 0 -42 + -4x = -55 Add '42' to each side of the equation. -42 + 42 + -4x = -55 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = -55 + 42 -4x = -55 + 42 Combine like terms: -55 + 42 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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