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Simplifying 6x + 16 = 4(x + 1) + 5x Reorder the terms: 16 + 6x = 4(x + 1) + 5x Reorder the terms: 16 + 6x = 4(1 + x) + 5x 16 + 6x = (1 * 4 + x * 4) + 5x 16 + 6x = (4 + 4x) + 5x Combine like terms: 4x + 5x = 9x 16 + 6x = 4 + 9x Solving 16 + 6x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16 + 6x + -9x = 4 + 9x + -9x Combine like terms: 6x + -9x = -3x 16 + -3x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + -3x = 4 + 0 16 + -3x = 4 Add '-16' to each side of the equation. 16 + -16 + -3x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 4 + -16 -3x = 4 + -16 Combine like terms: 4 + -16 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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