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Simplifying 5x + 16 = 2x + 7 + -1(x + 3) Reorder the terms: 16 + 5x = 2x + 7 + -1(x + 3) Reorder the terms: 16 + 5x = 2x + 7 + -1(3 + x) 16 + 5x = 2x + 7 + (3 * -1 + x * -1) 16 + 5x = 2x + 7 + (-3 + -1x) Reorder the terms: 16 + 5x = 7 + -3 + 2x + -1x Combine like terms: 7 + -3 = 4 16 + 5x = 4 + 2x + -1x Combine like terms: 2x + -1x = 1x 16 + 5x = 4 + 1x Solving 16 + 5x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 16 + 5x + -1x = 4 + 1x + -1x Combine like terms: 5x + -1x = 4x 16 + 4x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 16 + 4x = 4 + 0 16 + 4x = 4 Add '-16' to each side of the equation. 16 + -16 + 4x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 4 + -16 4x = 4 + -16 Combine like terms: 4 + -16 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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