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Simplifying 3x + 8(x + -10) = 3(x + -16) Reorder the terms: 3x + 8(-10 + x) = 3(x + -16) 3x + (-10 * 8 + x * 8) = 3(x + -16) 3x + (-80 + 8x) = 3(x + -16) Reorder the terms: -80 + 3x + 8x = 3(x + -16) Combine like terms: 3x + 8x = 11x -80 + 11x = 3(x + -16) Reorder the terms: -80 + 11x = 3(-16 + x) -80 + 11x = (-16 * 3 + x * 3) -80 + 11x = (-48 + 3x) Solving -80 + 11x = -48 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -80 + 11x + -3x = -48 + 3x + -3x Combine like terms: 11x + -3x = 8x -80 + 8x = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 -80 + 8x = -48 + 0 -80 + 8x = -48 Add '80' to each side of the equation. -80 + 80 + 8x = -48 + 80 Combine like terms: -80 + 80 = 0 0 + 8x = -48 + 80 8x = -48 + 80 Combine like terms: -48 + 80 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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