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Simplifying 122 + -1(6x + 16) = 6(x + 5) + x Reorder the terms: 122 + -1(16 + 6x) = 6(x + 5) + x 122 + (16 * -1 + 6x * -1) = 6(x + 5) + x 122 + (-16 + -6x) = 6(x + 5) + x Combine like terms: 122 + -16 = 106 106 + -6x = 6(x + 5) + x Reorder the terms: 106 + -6x = 6(5 + x) + x 106 + -6x = (5 * 6 + x * 6) + x 106 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 106 + -6x = 30 + 7x Solving 106 + -6x = 30 + 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. 106 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 106 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 106 + -13x = 30 + 0 106 + -13x = 30 Add '-106' to each side of the equation. 106 + -106 + -13x = 30 + -106 Combine like terms: 106 + -106 = 0 0 + -13x = 30 + -106 -13x = 30 + -106 Combine like terms: 30 + -106 = -76 -13x = -76 Divide each side by '-13'. x = 5.846153846 Simplifying x = 5.846153846
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