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Simplifying 16(2x + -8) = 5(8x + 3) Reorder the terms: 16(-8 + 2x) = 5(8x + 3) (-8 * 16 + 2x * 16) = 5(8x + 3) (-128 + 32x) = 5(8x + 3) Reorder the terms: -128 + 32x = 5(3 + 8x) -128 + 32x = (3 * 5 + 8x * 5) -128 + 32x = (15 + 40x) Solving -128 + 32x = 15 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -128 + 32x + -40x = 15 + 40x + -40x Combine like terms: 32x + -40x = -8x -128 + -8x = 15 + 40x + -40x Combine like terms: 40x + -40x = 0 -128 + -8x = 15 + 0 -128 + -8x = 15 Add '128' to each side of the equation. -128 + 128 + -8x = 15 + 128 Combine like terms: -128 + 128 = 0 0 + -8x = 15 + 128 -8x = 15 + 128 Combine like terms: 15 + 128 = 143 -8x = 143 Divide each side by '-8'. x = -17.875 Simplifying x = -17.875
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