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Simplifying 146 + -1(6x + 13) = 6(x + 7) + x Reorder the terms: 146 + -1(13 + 6x) = 6(x + 7) + x 146 + (13 * -1 + 6x * -1) = 6(x + 7) + x 146 + (-13 + -6x) = 6(x + 7) + x Combine like terms: 146 + -13 = 133 133 + -6x = 6(x + 7) + x Reorder the terms: 133 + -6x = 6(7 + x) + x 133 + -6x = (7 * 6 + x * 6) + x 133 + -6x = (42 + 6x) + x Combine like terms: 6x + x = 7x 133 + -6x = 42 + 7x Solving 133 + -6x = 42 + 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. 133 + -6x + -7x = 42 + 7x + -7x Combine like terms: -6x + -7x = -13x 133 + -13x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 133 + -13x = 42 + 0 133 + -13x = 42 Add '-133' to each side of the equation. 133 + -133 + -13x = 42 + -133 Combine like terms: 133 + -133 = 0 0 + -13x = 42 + -133 -13x = 42 + -133 Combine like terms: 42 + -133 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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