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Simplifying 103 + -1(4x + 16) = 4(x + 6) + x Reorder the terms: 103 + -1(16 + 4x) = 4(x + 6) + x 103 + (16 * -1 + 4x * -1) = 4(x + 6) + x 103 + (-16 + -4x) = 4(x + 6) + x Combine like terms: 103 + -16 = 87 87 + -4x = 4(x + 6) + x Reorder the terms: 87 + -4x = 4(6 + x) + x 87 + -4x = (6 * 4 + x * 4) + x 87 + -4x = (24 + 4x) + x Combine like terms: 4x + x = 5x 87 + -4x = 24 + 5x Solving 87 + -4x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 87 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x 87 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 87 + -9x = 24 + 0 87 + -9x = 24 Add '-87' to each side of the equation. 87 + -87 + -9x = 24 + -87 Combine like terms: 87 + -87 = 0 0 + -9x = 24 + -87 -9x = 24 + -87 Combine like terms: 24 + -87 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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