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Simplifying 34 + -1(x + -6) = 7x + -4 Reorder the terms: 34 + -1(-6 + x) = 7x + -4 34 + (-6 * -1 + x * -1) = 7x + -4 34 + (6 + -1x) = 7x + -4 Combine like terms: 34 + 6 = 40 40 + -1x = 7x + -4 Reorder the terms: 40 + -1x = -4 + 7x Solving 40 + -1x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + -1x + -7x = -4 + 7x + -7x Combine like terms: -1x + -7x = -8x 40 + -8x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -8x = -4 + 0 40 + -8x = -4 Add '-40' to each side of the equation. 40 + -40 + -8x = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -4 + -40 -8x = -4 + -40 Combine like terms: -4 + -40 = -44 -8x = -44 Divide each side by '-8'. x = 5.5 Simplifying x = 5.5
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