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Simplifying 16 + 7x = -1 + -5(8x + 6) Reorder the terms: 16 + 7x = -1 + -5(6 + 8x) 16 + 7x = -1 + (6 * -5 + 8x * -5) 16 + 7x = -1 + (-30 + -40x) Combine like terms: -1 + -30 = -31 16 + 7x = -31 + -40x Solving 16 + 7x = -31 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 16 + 7x + 40x = -31 + -40x + 40x Combine like terms: 7x + 40x = 47x 16 + 47x = -31 + -40x + 40x Combine like terms: -40x + 40x = 0 16 + 47x = -31 + 0 16 + 47x = -31 Add '-16' to each side of the equation. 16 + -16 + 47x = -31 + -16 Combine like terms: 16 + -16 = 0 0 + 47x = -31 + -16 47x = -31 + -16 Combine like terms: -31 + -16 = -47 47x = -47 Divide each side by '47'. x = -1 Simplifying x = -1
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