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Simplifying -16 = 8(7x + 4) + 8(-2 + -3x) Reorder the terms: -16 = 8(4 + 7x) + 8(-2 + -3x) -16 = (4 * 8 + 7x * 8) + 8(-2 + -3x) -16 = (32 + 56x) + 8(-2 + -3x) -16 = 32 + 56x + (-2 * 8 + -3x * 8) -16 = 32 + 56x + (-16 + -24x) Reorder the terms: -16 = 32 + -16 + 56x + -24x Combine like terms: 32 + -16 = 16 -16 = 16 + 56x + -24x Combine like terms: 56x + -24x = 32x -16 = 16 + 32x Solving -16 = 16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -16 + -32x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 -16 + -32x = 16 + 0 -16 + -32x = 16 Add '16' to each side of the equation. -16 + 16 + -32x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -32x = 16 + 16 -32x = 16 + 16 Combine like terms: 16 + 16 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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