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Simplifying 6(x + 5) + -1(x + -4) = 7x + -6 Reorder the terms: 6(5 + x) + -1(x + -4) = 7x + -6 (5 * 6 + x * 6) + -1(x + -4) = 7x + -6 (30 + 6x) + -1(x + -4) = 7x + -6 Reorder the terms: 30 + 6x + -1(-4 + x) = 7x + -6 30 + 6x + (-4 * -1 + x * -1) = 7x + -6 30 + 6x + (4 + -1x) = 7x + -6 Reorder the terms: 30 + 4 + 6x + -1x = 7x + -6 Combine like terms: 30 + 4 = 34 34 + 6x + -1x = 7x + -6 Combine like terms: 6x + -1x = 5x 34 + 5x = 7x + -6 Reorder the terms: 34 + 5x = -6 + 7x Solving 34 + 5x = -6 + 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. 34 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x 34 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 34 + -2x = -6 + 0 34 + -2x = -6 Add '-34' to each side of the equation. 34 + -34 + -2x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -2x = -6 + -34 -2x = -6 + -34 Combine like terms: -6 + -34 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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