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Simplifying -7x + 4(-4x + 6) = -114 Reorder the terms: -7x + 4(6 + -4x) = -114 -7x + (6 * 4 + -4x * 4) = -114 -7x + (24 + -16x) = -114 Reorder the terms: 24 + -7x + -16x = -114 Combine like terms: -7x + -16x = -23x 24 + -23x = -114 Solving 24 + -23x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -23x = -114 + -24 Combine like terms: 24 + -24 = 0 0 + -23x = -114 + -24 -23x = -114 + -24 Combine like terms: -114 + -24 = -138 -23x = -138 Divide each side by '-23'. x = 6 Simplifying x = 6
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