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Simplifying 86 + -1(3x + 16) = 3(x + 7) + x Reorder the terms: 86 + -1(16 + 3x) = 3(x + 7) + x 86 + (16 * -1 + 3x * -1) = 3(x + 7) + x 86 + (-16 + -3x) = 3(x + 7) + x Combine like terms: 86 + -16 = 70 70 + -3x = 3(x + 7) + x Reorder the terms: 70 + -3x = 3(7 + x) + x 70 + -3x = (7 * 3 + x * 3) + x 70 + -3x = (21 + 3x) + x Combine like terms: 3x + x = 4x 70 + -3x = 21 + 4x Solving 70 + -3x = 21 + 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. 70 + -3x + -4x = 21 + 4x + -4x Combine like terms: -3x + -4x = -7x 70 + -7x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 70 + -7x = 21 + 0 70 + -7x = 21 Add '-70' to each side of the equation. 70 + -70 + -7x = 21 + -70 Combine like terms: 70 + -70 = 0 0 + -7x = 21 + -70 -7x = 21 + -70 Combine like terms: 21 + -70 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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