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Simplifying 2x + 7 = 4(x + -5) + -6 Reorder the terms: 7 + 2x = 4(x + -5) + -6 Reorder the terms: 7 + 2x = 4(-5 + x) + -6 7 + 2x = (-5 * 4 + x * 4) + -6 7 + 2x = (-20 + 4x) + -6 Reorder the terms: 7 + 2x = -20 + -6 + 4x Combine like terms: -20 + -6 = -26 7 + 2x = -26 + 4x Solving 7 + 2x = -26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 2x + -4x = -26 + 4x + -4x Combine like terms: 2x + -4x = -2x 7 + -2x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -2x = -26 + 0 7 + -2x = -26 Add '-7' to each side of the equation. 7 + -7 + -2x = -26 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -26 + -7 -2x = -26 + -7 Combine like terms: -26 + -7 = -33 -2x = -33 Divide each side by '-2'. x = 16.5 Simplifying x = 16.5
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