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Simplifying 5x + -16 = -7(8x + -6) + 3 Reorder the terms: -16 + 5x = -7(8x + -6) + 3 Reorder the terms: -16 + 5x = -7(-6 + 8x) + 3 -16 + 5x = (-6 * -7 + 8x * -7) + 3 -16 + 5x = (42 + -56x) + 3 Reorder the terms: -16 + 5x = 42 + 3 + -56x Combine like terms: 42 + 3 = 45 -16 + 5x = 45 + -56x Solving -16 + 5x = 45 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -16 + 5x + 56x = 45 + -56x + 56x Combine like terms: 5x + 56x = 61x -16 + 61x = 45 + -56x + 56x Combine like terms: -56x + 56x = 0 -16 + 61x = 45 + 0 -16 + 61x = 45 Add '16' to each side of the equation. -16 + 16 + 61x = 45 + 16 Combine like terms: -16 + 16 = 0 0 + 61x = 45 + 16 61x = 45 + 16 Combine like terms: 45 + 16 = 61 61x = 61 Divide each side by '61'. x = 1 Simplifying x = 1
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