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Simplifying 5x + -16 = 3(2x + -3) + 1 Reorder the terms: -16 + 5x = 3(2x + -3) + 1 Reorder the terms: -16 + 5x = 3(-3 + 2x) + 1 -16 + 5x = (-3 * 3 + 2x * 3) + 1 -16 + 5x = (-9 + 6x) + 1 Reorder the terms: -16 + 5x = -9 + 1 + 6x Combine like terms: -9 + 1 = -8 -16 + 5x = -8 + 6x Solving -16 + 5x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 5x + -6x = -8 + 6x + -6x Combine like terms: 5x + -6x = -1x -16 + -1x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -1x = -8 + 0 -16 + -1x = -8 Add '16' to each side of the equation. -16 + 16 + -1x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -8 + 16 -1x = -8 + 16 Combine like terms: -8 + 16 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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