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Simplifying -6(8x + 11) = 6(-4x + -13) Reorder the terms: -6(11 + 8x) = 6(-4x + -13) (11 * -6 + 8x * -6) = 6(-4x + -13) (-66 + -48x) = 6(-4x + -13) Reorder the terms: -66 + -48x = 6(-13 + -4x) -66 + -48x = (-13 * 6 + -4x * 6) -66 + -48x = (-78 + -24x) Solving -66 + -48x = -78 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -66 + -48x + 24x = -78 + -24x + 24x Combine like terms: -48x + 24x = -24x -66 + -24x = -78 + -24x + 24x Combine like terms: -24x + 24x = 0 -66 + -24x = -78 + 0 -66 + -24x = -78 Add '66' to each side of the equation. -66 + 66 + -24x = -78 + 66 Combine like terms: -66 + 66 = 0 0 + -24x = -78 + 66 -24x = -78 + 66 Combine like terms: -78 + 66 = -12 -24x = -12 Divide each side by '-24'. x = 0.5 Simplifying x = 0.5
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