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Simplifying 16 + 7(6 + -1x) = 15 + -4(x + 2) 16 + (6 * 7 + -1x * 7) = 15 + -4(x + 2) 16 + (42 + -7x) = 15 + -4(x + 2) Combine like terms: 16 + 42 = 58 58 + -7x = 15 + -4(x + 2) Reorder the terms: 58 + -7x = 15 + -4(2 + x) 58 + -7x = 15 + (2 * -4 + x * -4) 58 + -7x = 15 + (-8 + -4x) Combine like terms: 15 + -8 = 7 58 + -7x = 7 + -4x Solving 58 + -7x = 7 + -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. 58 + -7x + 4x = 7 + -4x + 4x Combine like terms: -7x + 4x = -3x 58 + -3x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 58 + -3x = 7 + 0 58 + -3x = 7 Add '-58' to each side of the equation. 58 + -58 + -3x = 7 + -58 Combine like terms: 58 + -58 = 0 0 + -3x = 7 + -58 -3x = 7 + -58 Combine like terms: 7 + -58 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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