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Simplifying 8(x + -2) + -5(3 + -2) + 16 = 15 + -4(3 + -2) Reorder the terms: 8(-2 + x) + -5(3 + -2) + 16 = 15 + -4(3 + -2) (-2 * 8 + x * 8) + -5(3 + -2) + 16 = 15 + -4(3 + -2) (-16 + 8x) + -5(3 + -2) + 16 = 15 + -4(3 + -2) Combine like terms: 3 + -2 = 1 -16 + 8x + -5(1) + 16 = 15 + -4(3 + -2) Multiply -5 * 1 -16 + 8x + -5 + 16 = 15 + -4(3 + -2) Reorder the terms: -16 + -5 + 16 + 8x = 15 + -4(3 + -2) Combine like terms: -16 + -5 = -21 -21 + 16 + 8x = 15 + -4(3 + -2) Combine like terms: -21 + 16 = -5 -5 + 8x = 15 + -4(3 + -2) Combine like terms: 3 + -2 = 1 -5 + 8x = 15 + -4(1) Multiply -4 * 1 -5 + 8x = 15 + -4 Combine like terms: 15 + -4 = 11 -5 + 8x = 11 Solving -5 + 8x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 11 + 5 8x = 11 + 5 Combine like terms: 11 + 5 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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