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Simplifying 4x + -3(x + 5) = 16 + -7(x + 1) Reorder the terms: 4x + -3(5 + x) = 16 + -7(x + 1) 4x + (5 * -3 + x * -3) = 16 + -7(x + 1) 4x + (-15 + -3x) = 16 + -7(x + 1) Reorder the terms: -15 + 4x + -3x = 16 + -7(x + 1) Combine like terms: 4x + -3x = 1x -15 + 1x = 16 + -7(x + 1) Reorder the terms: -15 + 1x = 16 + -7(1 + x) -15 + 1x = 16 + (1 * -7 + x * -7) -15 + 1x = 16 + (-7 + -7x) Combine like terms: 16 + -7 = 9 -15 + 1x = 9 + -7x Solving -15 + 1x = 9 + -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. -15 + 1x + 7x = 9 + -7x + 7x Combine like terms: 1x + 7x = 8x -15 + 8x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 8x = 9 + 0 -15 + 8x = 9 Add '15' to each side of the equation. -15 + 15 + 8x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 9 + 15 8x = 9 + 15 Combine like terms: 9 + 15 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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